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23402405088 = 2533174138861
BaseRepresentation
bin10101110010111001…
…000101110011100000
32020101221202100121000
4111302321011303200
5340412003430323
614430110432000
71455635106156
oct256271056340
966357670530
1023402405088
119a1a058357
124651502600
13228c56339a
1411c011b3d6
1591e7eae43
hex572e45ce0

23402405088 has 192 divisors, whose sum is σ = 74036773440. Its totient is φ = 7162675200.

The previous prime is 23402405087. The next prime is 23402405141. The reversal of 23402405088 is 88050420432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402405087) by changing a digit.

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, 582778 + ... + 621638.

It is an arithmetic number, because the mean of its divisors is an integer number (385608195).

Almost surely, 223402405088 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 23402405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37018386720).

23402405088 is an abundant number, since it is smaller than the sum of its proper divisors (50634368352).

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

23402405088 is a wasteful number, since it uses less digits than its factorization.

23402405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38938 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 23402405088 in words is "twenty-three billion, four hundred two million, four hundred five thousand, eighty-eight".