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15491314656 = 25322910131831
BaseRepresentation
bin11100110110101101…
…01011001111100000
31110222121122022200200
432123112223033200
5223211234032111
611041104345200
71055614000446
oct163326531740
943877568620
1015491314656
11662a496a94
123004015200
1315cb57ca9c
14a6d598b96
1560a014256
hex39b5ab3e0

15491314656 has 144 divisors (see below), whose sum is σ = 45642411360. Its totient is φ = 4978068480.

The previous prime is 15491314613. The next prime is 15491314661. The reversal of 15491314656 is 65641319451.

15491314656 is a `hidden beast` number, since 1 + 54 + 9 + 131 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8459661 + ... + 8461491.

It is an arithmetic number, because the mean of its divisors is an integer number (316961190).

Almost surely, 215491314656 is an apocalyptic number.

15491314656 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 15491314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821205680).

15491314656 is an abundant number, since it is smaller than the sum of its proper divisors (30151096704).

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

15491314656 is a wasteful number, since it uses less digits than its factorization.

15491314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2878 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 15491314656 in words is "fifteen billion, four hundred ninety-one million, three hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1013 1044 1392 1831 2026 2088 2784 3039 3662 4052 4176 5493 6078 7324 8104 8352 9117 10986 12156 14648 16208 16479 18234 21972 24312 29296 29377 32416 32958 36468 43944 48624 53099 58592 58754 65916 72936 87888 88131 97248 106198 117508 131832 145872 159297 175776 176262 212396 235016 263664 264393 291744 318594 352524 424792 470032 477891 527328 528786 637188 705048 849584 940064 955782 1057572 1274376 1410096 1699168 1854803 1911564 2115144 2548752 2820192 3709606 3823128 4230288 5097504 5564409 7419212 7646256 8460576 11128818 14838424 15292512 16693227 22257636 29676848 33386454 44515272 53789287 59353696 66772908 89030544 107578574 133545816 161367861 178061088 215157148 267091632 322735722 430314296 484103583 534183264 645471444 860628592 968207166 1290942888 1721257184 1936414332 2581885776 3872828664 5163771552 7745657328 15491314656