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23131982784 = 263435415179
BaseRepresentation
bin10101100010110001…
…100000101111000000
32012201002220110221010
4111202301200233000
5334333241422114
614343210400520
71446142416021
oct254261405700
965632813833
1023131982784
1198a0446049
124596a30140
1322485202a1
141196246c48
15905bd0c59
hex562c60bc0

23131982784 has 112 divisors (see below), whose sum is σ = 62754581120. Its totient is φ = 7515970560.

The previous prime is 23131982779. The next prime is 23131982831. The reversal of 23131982784 is 48728913132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4463907 + ... + 4469085.

It is an arithmetic number, because the mean of its divisors is an integer number (560308760).

Almost surely, 223131982784 is an apocalyptic number.

23131982784 is a gapful number since it is divisible by the number (24) 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 23131982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31377290560).

23131982784 is an abundant number, since it is smaller than the sum of its proper divisors (39622598336).

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

23131982784 is a wasteful number, since it uses less digits than its factorization.

23131982784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5768 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 23131982784 in words is "twenty-three billion, one hundred thirty-one million, nine hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 541 688 1032 1082 1376 1623 2064 2164 2752 3246 4128 4328 5179 6492 8256 8656 10358 12984 15537 17312 20716 23263 25968 31074 34624 41432 46526 51936 62148 69789 82864 93052 103872 124296 139578 165728 186104 222697 248592 279156 331456 372208 445394 497184 558312 668091 744416 890788 994368 1116624 1336182 1488832 1781576 2233248 2672364 2801839 3563152 4466496 5344728 5603678 7126304 8405517 10689456 11207356 14252608 16811034 21378912 22414712 33622068 42757824 44829424 67244136 89658848 120479077 134488272 179317696 240958154 268976544 361437231 481916308 537953088 722874462 963832616 1445748924 1927665232 2891497848 3855330464 5782995696 7710660928 11565991392 23131982784