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23083974144 = 2932711174389
BaseRepresentation
bin10101011111111010…
…010111111000000000
32012120202120101110100
4111133322113320000
5334233444133034
614334333402400
71445020354110
oct253772277000
965522511410
1023083974144
119876335490
124582939400
13223b5b13ca
14118db0b040
1590189b099
hex55fe97e00

23083974144 has 960 divisors, whose sum is σ = 91003461120. Its totient is φ = 5449973760.

The previous prime is 23083974143. The next prime is 23083974167. The reversal of 23083974144 is 44147938032.

It is a self number, because there is not a number n which added to its sum of digits gives 23083974144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23083974143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 259370452 + ... + 259370540.

It is an arithmetic number, because the mean of its divisors is an integer number (94795272).

Almost surely, 223083974144 is an apocalyptic number.

23083974144 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 23083974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45501730560).

23083974144 is an abundant number, since it is smaller than the sum of its proper divisors (67919486976).

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

23083974144 is a wasteful number, since it uses less digits than its factorization.

23083974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23083974144 in words is "twenty-three billion, eighty-three million, nine hundred seventy-four thousand, one hundred forty-four".