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161160160656 = 2431110911324781
BaseRepresentation
bin1001011000010111100…
…1001110010110010000
3120101222112021102020010
42112011321032112100
510120024000120111
6202011433314520
714433461522535
oct2260571162620
9511875242203
10161160160656
1162390789020
1227298265a40
1312274722711
147b2ba32d8c
1542d3758aa6
hex2585e4e590

161160160656 has 160 divisors (see below), whose sum is σ = 462420224640. Its totient is φ = 47958220800.

The previous prime is 161160160643. The next prime is 161160160663. The reversal of 161160160656 is 656061061161.

161160160656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490986 + ... + 6515766.

It is an arithmetic number, because the mean of its divisors is an integer number (2890126404).

Almost surely, 2161160160656 is an apocalyptic number.

161160160656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161160160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231210112320).

161160160656 is an abundant number, since it is smaller than the sum of its proper divisors (301260063984).

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

161160160656 is a wasteful number, since it uses less digits than its factorization.

161160160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25025 (or 25019 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 161160160656 in words is "one hundred sixty-one billion, one hundred sixty million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 113 132 176 218 226 264 327 339 436 452 528 654 678 872 904 1199 1243 1308 1356 1744 1808 2398 2486 2616 2712 3597 3729 4796 4972 5232 5424 7194 7458 9592 9944 12317 14388 14916 19184 19888 24634 24781 28776 29832 36951 49268 49562 57552 59664 73902 74343 98536 99124 135487 147804 148686 197072 198248 270974 272591 295608 297372 396496 406461 541948 545182 591216 594744 812922 817773 1083896 1090364 1189488 1625844 1635546 2167792 2180728 2701129 2800253 3251688 3271092 4361456 5402258 5600506 6503376 6542184 8103387 8400759 10804516 11201012 13084368 16206774 16801518 21609032 22402024 29712419 30802783 32413548 33603036 43218064 44804048 59424838 61605566 64827096 67206072 89137257 92408349 118849676 123211132 129654192 134412144 178274514 184816698 237699352 246422264 305227577 356549028 369633396 475398704 492844528 610455154 713098056 739266792 915682731 1220910308 1426196112 1478533584 1831365462 2441820616 3357503347 3662730924 4883641232 6715006694 7325461848 10072510041 13430013388 14650923696 20145020082 26860026776 40290040164 53720053552 80580080328 161160160656