Search a number
-
+
611401322064 = 243138933133323
BaseRepresentation
bin10001110010110100101…
…10111100111001010000
32011110010121110020002210
420321122112330321100
540004122214301224
61144512432112120
762113044330021
oct10713226747120
92143117406083
10611401322064
1121632611a615
129a5b1095640
1345868a6a120
1421840580c48
1510d85c82429
hex8e5a5bce50

611401322064 has 160 divisors (see below), whose sum is σ = 1721098592640. Its totient is φ = 185897631744.

The previous prime is 611401322041. The next prime is 611401322113. The reversal of 611401322064 is 460223104116.

611401322064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 183989107 + ... + 183992429.

It is an arithmetic number, because the mean of its divisors is an integer number (10756866204).

Almost surely, 2611401322064 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 611401322064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860549296320).

611401322064 is an abundant number, since it is smaller than the sum of its proper divisors (1109697270576).

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

611401322064 is a wasteful number, since it uses less digits than its factorization.

611401322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 611401322064 in words is "six hundred eleven billion, four hundred one million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3313 3323 3471 4272 4628 6626 6646 6942 9256 9939 9969 13252 13292 13884 18512 19878 19938 26504 26584 27768 39756 39876 43069 43199 53008 53168 55536 79512 79752 86138 86398 129207 129597 159024 159504 172276 172796 258414 259194 294857 295747 344552 345592 516828 518388 589714 591494 689104 691184 884571 887241 1033656 1036776 1179428 1182988 1769142 1774482 2067312 2073552 2358856 2365976 3538284 3548964 3833141 3844711 4717712 4731952 7076568 7097928 7666282 7689422 11009099 11499423 11534133 14153136 14195856 15332564 15378844 22018198 22998846 23068266 30665128 30757688 33027297 44036396 45997692 46136532 61330256 61515376 66054594 88072792 91995384 92273064 132109188 143118287 176145584 183990768 184546128 264218376 286236574 429354861 528436752 572473148 858709722 979809811 1144946296 1717419444 1959619622 2289892592 2939429433 3434838888 3919239244 5878858866 6869677776 7838478488 11757717732 12737527543 15676956976 23515435464 25475055086 38212582629 47030870928 50950110172 76425165258 101900220344 152850330516 203800440688 305700661032 611401322064