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23675422457632 = 2511731249737683
BaseRepresentation
bin1010110001000010111010…
…01001010011111100100000
310002211100101220020122221211
411120201131021103330200
511100344231122121012
6122204201112555504
74662331016316031
oct530413511237440
9102740356218854
1023675422457632
1175a8765840020
1227a45570b2b94
13102977641c89a
145bbc7a240a88
152b0cbab0c6a7
hex15885d253f20

23675422457632 has 96 divisors (see below), whose sum is σ = 51586242120000. Its totient is φ = 10605624606720.

The previous prime is 23675422457627. The next prime is 23675422457657.

23675422457632 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31725463 + ... + 32463145.

It is an arithmetic number, because the mean of its divisors is an integer number (537356688750).

Almost surely, 223675422457632 is an apocalyptic number.

23675422457632 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 23675422457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25793121060000).

23675422457632 is an abundant number, since it is smaller than the sum of its proper divisors (27910819662368).

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

23675422457632 is a wasteful number, since it uses less digits than its factorization.

23675422457632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739026 (or 739018 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 58.

The spelling of 23675422457632 in words is "twenty-three trillion, six hundred seventy-five billion, four hundred twenty-two million, four hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1249 1606 2336 2498 3212 4996 6424 9992 12848 13739 19984 25696 27478 39968 54956 91177 109912 182354 219824 364708 439648 729416 737683 1002947 1458832 1475366 2005894 2917664 2950732 4011788 5901464 8023576 8114513 11802928 16047152 16229026 23605856 32094304 32458052 53850859 64916104 107701718 129832208 215403436 259664416 430806872 592359449 861613744 921366067 1184718898 1723227488 1842732134 2369437796 3685464268 4738875592 7370928536 9477751184 10135026737 14741857072 18955502368 20270053474 29483714144 40540106948 67259722891 81080213896 134519445782 162160427792 269038891564 324320855584 538077783128 739856951801 1076155566256 1479713903602 2152311132512 2959427807204 5918855614408 11837711228816 23675422457632