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12891173232 = 243727969379
BaseRepresentation
bin11000000000101111…
…11011000101110000
31020021102000110012110
430000113323011300
5202400120020412
65531102325320
7634312110300
oct140027730560
936242013173
1012891173232
115515805283
1225b9289840
1312a598a672
148a411b600
15506b06d3c
hex3005fb170

12891173232 has 120 divisors (see below), whose sum is σ = 39230227200. Its totient is φ = 3636517248.

The previous prime is 12891173231. The next prime is 12891173237. The reversal of 12891173232 is 23237119821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891173231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151119 + ... + 220497.

It is an arithmetic number, because the mean of its divisors is an integer number (326918560).

Almost surely, 212891173232 is an apocalyptic number.

12891173232 is a gapful number since it is divisible by the number (12) 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 12891173232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615113600).

12891173232 is an abundant number, since it is smaller than the sum of its proper divisors (26339053968).

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

12891173232 is a wasteful number, since it uses less digits than its factorization.

12891173232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69483 (or 69470 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 12891173232 in words is "twelve billion, eight hundred ninety-one million, one hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 13272 15484 23226 26544 30968 46452 61936 69379 92904 138758 185808 208137 277516 416274 485653 555032 832548 971306 1110064 1456959 1665096 1942612 2913918 3330192 3399571 3885224 5480941 5827836 6799142 7770448 10198713 10961882 11655672 13598284 16442823 20397426 21923764 23311344 27196568 32885646 38366587 40794852 43847528 54393136 65771292 76733174 81589704 87695056 115099761 131542584 153466348 163179408 230199522 263085168 268566109 306932696 460399044 537132218 613865392 805698327 920798088 1074264436 1611396654 1841596176 2148528872 3222793308 4297057744 6445586616 12891173232