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23557332092 = 2275361433601
BaseRepresentation
bin10101111100001000…
…000101110001111100
32020210202021110111012
4111330020011301330
5341221134111332
614453323214352
71462526006330
oct257410056174
966722243435
1023557332092
119a995552a8
1246953773b8
1322b5698a78
1411d69297c0
1592d2003b2
hex57c205c7c

23557332092 has 96 divisors (see below), whose sum is σ = 48984614784. Its totient is φ = 9704448000.

The previous prime is 23557332079. The next prime is 23557332103. The reversal of 23557332092 is 29023375532.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39196592 + ... + 39197192.

It is an arithmetic number, because the mean of its divisors is an integer number (510256404).

Almost surely, 223557332092 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 23557332092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492307392).

23557332092 is an abundant number, since it is smaller than the sum of its proper divisors (25427282692).

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

23557332092 is a wasteful number, since it uses less digits than its factorization.

23557332092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 41.

The spelling of 23557332092 in words is "twenty-three billion, five hundred fifty-seven million, three hundred thirty-two thousand, ninety-two".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 433 601 742 854 866 1202 1484 1708 1732 2404 3031 3233 4207 6062 6466 8414 12124 12932 16828 22631 22949 26413 31853 36661 45262 45898 52826 63706 73322 90524 91796 105652 127412 146644 160643 184891 222971 256627 260233 321286 369782 445942 513254 520466 642572 739564 891884 1026508 1040932 1399889 1821631 1943033 2799778 3643262 3886066 5599556 7286524 7772132 9799223 13601231 13792349 15874213 19598446 27202462 27584698 31748426 39196892 54404924 55169396 63496852 96546443 111119491 193092886 222238982 386185772 444477964 841333289 1682666578 3365333156 5889333023 11778666046 23557332092