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23431213432 = 23112472412137
BaseRepresentation
bin10101110100100110…
…111111000101111000
32020110221221222012201
4111310212333011320
5340441342312212
614433020115544
71456435012414
oct256446770570
966427858181
1023431213432
119a34344500
12465b095bb4
13229550bb43
1411c3c99d44
159220dbb57
hex5749bf178

23431213432 has 96 divisors (see below), whose sum is σ = 49545840960. Its totient is φ = 10375833600.

The previous prime is 23431213417. The next prime is 23431213447.

It is a happy number.

23431213432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23431213417) and next prime (23431213447).

It is a self number, because there is not a number n which added to its sum of digits gives 23431213432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10963468 + ... + 10965604.

It is an arithmetic number, because the mean of its divisors is an integer number (516102510).

Almost surely, 223431213432 is an apocalyptic number.

23431213432 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 23431213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772920480).

23431213432 is an abundant number, since it is smaller than the sum of its proper divisors (26114627528).

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

23431213432 is a wasteful number, since it uses less digits than its factorization.

23431213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2438 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The spelling of 23431213432 in words is "twenty-three billion, four hundred thirty-one million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 241 242 376 482 484 517 964 968 1034 1928 2068 2137 2651 4136 4274 5302 5687 8548 10604 11327 11374 17096 21208 22654 22748 23507 29161 45308 45496 47014 58322 90616 94028 100439 116644 124597 188056 200878 233288 249194 258577 401756 498388 515017 517154 803512 996776 1030034 1034308 1104829 1370567 2060068 2068616 2209658 2741134 4120136 4419316 5482268 5665187 8838632 10964536 11330374 12153119 22660748 24205799 24306238 45321496 48411598 48612476 62317057 96823196 97224952 124634114 193646392 249268228 266263789 498536456 532527578 1065055156 2130110312 2928901679 5857803358 11715606716 23431213432