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661040055303056 = 2411132571322984979
BaseRepresentation
bin1001011001001101100110000…
…1101011011011101110010000
310012200112210221000211100012022
42112103121201223123232100
51143120440013124144211
610301525335321351012
7256144365543511052
oct22623314153335620
93180483830740168
10661040055303056
1118169a570a37a90
1262181ba9038468
13224b0a6acca2b0
14b93471ba938d2
15516527ec94bdb
hex2593661adbb90

661040055303056 has 160 divisors (see below), whose sum is σ = 1510661817705600. Its totient is φ = 276256108707840.

The previous prime is 661040055303049. The next prime is 661040055303073. The reversal of 661040055303056 is 650303550040166.

661040055303056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 661040055302998 and 661040055303016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7778821175 + ... + 7778906153.

It is an arithmetic number, because the mean of its divisors is an integer number (9441636360660).

Almost surely, 2661040055303056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661040055303056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755330908852800).

661040055303056 is an abundant number, since it is smaller than the sum of its proper divisors (849621762402544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

661040055303056 is a wasteful number, since it uses less digits than its factorization.

661040055303056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98497 (or 98491 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 44.

The spelling of 661040055303056 in words is "six hundred sixty-one trillion, forty billion, fifty-five million, three hundred three thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 257 286 514 572 1028 1144 2056 2288 2827 3341 4112 5654 6682 11308 13229 13364 22616 26458 26728 36751 45232 52916 53456 73502 84979 105832 145519 147004 169958 171977 211664 291038 294008 339916 343954 582076 588016 679832 687908 934769 1104727 1164152 1359664 1375816 1869538 1891747 2209454 2328304 2751632 3399853 3739076 3783494 4418908 6799706 7478152 7566988 8837816 12151997 13599412 14956304 15133976 17675632 21839603 24303994 27198824 30267952 37398383 43679206 44198089 48607988 54397648 74796766 87358412 88396178 97215976 149593532 174716824 176792356 194431952 240235633 283914839 299187064 349433648 353584712 480471266 486178979 567829678 598374128 707169424 960942532 972357958 1124187191 1135659356 1921885064 1944715916 2248374382 2271318712 3123063229 3843770128 3889431832 4496748764 4542637424 6246126458 7778863664 8993497528 12366059101 12492252916 14614433483 17986995056 24732118202 24984505832 29228866966 49464236404 49969011664 58457733932 98928472808 116915467864 160758768313 197856945616 233830935728 288916108087 321517536626 577832216174 643035073252 1155664432348 1286070146504 2311328864696 2572140293008 3178077188957 3755909405131 4622657729392 6356154377914 7511818810262 12712308755828 15023637620524 25424617511656 30047275241048 41315003456441 50849235023312 60094550482096 82630006912882 165260013825764 330520027651528 661040055303056