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10894677972 = 2233743737817
BaseRepresentation
bin10100010010101111…
…11001011111010100
31001010021020222120120
422021113321133110
5134303014143342
65001022431540
7533660143353
oct121127713724
931107228516
1010894677972
1146908418a2
1221407325b0
13104816c619
14754cd599a
1543b6d7aec
hex2895f97d4

10894677972 has 96 divisors (see below), whose sum is σ = 27084554112. Its totient is φ = 3403524096.

The previous prime is 10894677943. The next prime is 10894677991. The reversal of 10894677972 is 27977649801.

It is a super-2 number, since 2×108946779722 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1389808 + ... + 1397624.

It is an arithmetic number, because the mean of its divisors is an integer number (282130772).

Almost surely, 210894677972 is an apocalyptic number.

10894677972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10894677972 is an abundant number, since it is smaller than the sum of its proper divisors (16189876140).

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

10894677972 is a wasteful number, since it uses less digits than its factorization.

10894677972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 10894677972 in words is "ten billion, eight hundred ninety-four million, six hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 37 43 73 74 86 111 129 146 148 172 219 222 258 292 438 444 516 876 1591 2701 3139 3182 4773 5402 6278 6364 7817 8103 9417 9546 10804 12556 15634 16206 18834 19092 23451 31268 32412 37668 46902 93804 116143 232286 289229 336131 348429 464572 570641 578458 672262 696858 867687 1008393 1141282 1156916 1344524 1393716 1711923 1735374 2016786 2282564 3423846 3470748 4033572 6847692 12436847 21113717 24537563 24873694 37310541 42227434 49075126 49747388 63341151 73612689 74621082 84454868 98150252 126682302 147225378 149242164 253364604 294450756 907889831 1815779662 2723669493 3631559324 5447338986 10894677972