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23074274496 = 2637137379229
BaseRepresentation
bin10101011111010101…
…010111110011000000
32012120002022121001010
4111133111113303000
5334224003240441
614333345440520
71444542045210
oct253725276300
965502277033
1023074274496
11987090aa49
12457b640140
132239596480
14118c704240
15900ad2116
hex55f557cc0

23074274496 has 448 divisors, whose sum is σ = 77469593600. Its totient is φ = 5900304384.

The previous prime is 23074274453. The next prime is 23074274501. The reversal of 23074274496 is 69447247032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100760910 + ... + 100761138.

It is an arithmetic number, because the mean of its divisors is an integer number (172923200).

Almost surely, 223074274496 is an apocalyptic number.

23074274496 is a gapful number since it is divisible by the number (26) 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 23074274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38734796800).

23074274496 is an abundant number, since it is smaller than the sum of its proper divisors (54395319104).

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

23074274496 is a wasteful number, since it uses less digits than its factorization.

23074274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 23074274496 in words is "twenty-three billion, seventy-four million, two hundred seventy-four thousand, four hundred ninety-six".