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23146464132 = 223211215673391
BaseRepresentation
bin10101100011101000…
…110000001110000100
32012202010011012121100
4111203220300032010
5334400443323012
614344445020100
71446406461501
oct254350601604
965663135540
1023146464132
1198a8637100
12459b854630
13224b52082c
1411981364a8
159070e18dc
hex563a30384

23146464132 has 108 divisors (see below), whose sum is σ = 64371693568. Its totient is φ = 7007536800.

The previous prime is 23146464067. The next prime is 23146464137.

23146464132 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 6 + 4 + 641 + 3 + 2 = 666.

23146464132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23146464137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6824157 + ... + 6827547.

Almost surely, 223146464132 is an apocalyptic number.

23146464132 is a gapful number since it is divisible by the number (22) 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 23146464132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32185846784).

23146464132 is an abundant number, since it is smaller than the sum of its proper divisors (41225229436).

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

23146464132 is a wasteful number, since it uses less digits than its factorization.

23146464132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4974 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 23146464132 in words is "twenty-three billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1567 2178 3134 3391 4356 4701 6268 6782 9402 10173 13564 14103 17237 18804 20346 28206 30519 34474 37301 40692 51711 56412 61038 68948 74602 103422 111903 122076 149204 155133 189607 206844 223806 310266 335709 379214 410311 447612 568821 620532 671418 758428 820622 1137642 1230933 1342836 1641244 1706463 2275284 2461866 3412926 3692799 4923732 5313697 6825852 7385598 10627394 14771196 15941091 21254788 31882182 47823273 58450667 63764364 95646546 116901334 175352001 191293092 233802668 350704002 526056003 642957337 701408004 1052112006 1285914674 1928872011 2104224012 2571829348 3857744022 5786616033 7715488044 11573232066 23146464132