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23431354368 = 211341191487
BaseRepresentation
bin10101110100100111…
…100001100000000000
32020110222020010112120
4111310213201200000
5340441411314433
614433023124240
71456436140332
oct256447414000
966428203476
1023431354368
119a34430384
12465b143680
13229555b036
1411c3cd5452
159221187b3
hex5749e1800

23431354368 has 192 divisors, whose sum is σ = 64459100160. Its totient is φ = 7564492800.

The previous prime is 23431354367. The next prime is 23431354381. The reversal of 23431354368 is 86345313432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431354367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48113421 + ... + 48113907.

It is an arithmetic number, because the mean of its divisors is an integer number (335724480).

Almost surely, 223431354368 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 23431354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32229550080).

23431354368 is an abundant number, since it is smaller than the sum of its proper divisors (41027745792).

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

23431354368 is a wasteful number, since it uses less digits than its factorization.

23431354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 724 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 23431354368 in words is "twenty-three billion, four hundred thirty-one million, three hundred fifty-four thousand, three hundred sixty-eight".