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23812221832 = 237676419901
BaseRepresentation
bin10110001011010100…
…011010101110001000
32021110111220012110221
4112023110122232020
5342231412044312
614534510315424
71502042355160
oct261324325610
967414805427
1023812221832
11a10a418783
1247467b8b74
132326430cb9
14121c7195a0
1594579d207
hex58b51ab88

23812221832 has 64 divisors (see below), whose sum is σ = 51873805440. Its totient is φ = 10036224000.

The previous prime is 23812221739. The next prime is 23812221857.

23812221832 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, 2400082 + ... + 2409982.

It is an arithmetic number, because the mean of its divisors is an integer number (810528210).

Almost surely, 223812221832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23812221832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936902720).

23812221832 is an abundant number, since it is smaller than the sum of its proper divisors (28061583608).

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

23812221832 is a wasteful number, since it uses less digits than its factorization.

23812221832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10618 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 23812221832 in words is "twenty-three billion, eight hundred twelve million, two hundred twenty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 641 938 1282 1876 2564 3752 4487 5128 8974 9901 17948 19802 35896 39604 42947 69307 79208 85894 138614 171788 277228 300629 343576 554456 601258 663367 1202516 1326734 2405032 2653468 4643569 5306936 6346541 9287138 12693082 18574276 25386164 37148552 44425787 50772328 88851574 177703148 355406296 425218247 850436494 1700872988 2976527729 3401745976 5953055458 11906110916 23812221832