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23374007424 = 2732294353307
BaseRepresentation
bin10101110001001100…
…110000110010000000
32020022222022121022200
4111301030300302000
5340332221214144
614423214033200
71455141533145
oct256114606200
966288277280
1023374007424
119a05021809
124643aa8800
1322866cc831
1411ba4483cc
1591c08bc69
hex571330c80

23374007424 has 384 divisors, whose sum is σ = 72778305600. Its totient is φ = 7185604608.

The previous prime is 23374007357. The next prime is 23374007443. The reversal of 23374007424 is 42470047332.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 76136679 + ... + 76136985.

Almost surely, 223374007424 is an apocalyptic number.

23374007424 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 23374007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36389152800).

23374007424 is an abundant number, since it is smaller than the sum of its proper divisors (49404298176).

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

23374007424 is a wasteful number, since it uses less digits than its factorization.

23374007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 23374007424 in words is "twenty-three billion, three hundred seventy-four million, seven thousand, four hundred twenty-four".