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23042371968 = 27377111069
BaseRepresentation
bin10101011101011011…
…101011000110000000
32012110212021210000000
4111131123223012000
5334142321400333
614330250000000
71444003634010
oct253533530600
965425253000
1023042371968
119854900120
124570a16000
132232aa6535
14118839bc40
158ecdce713
hex55d6eb180

23042371968 has 512 divisors, whose sum is σ = 85915008000. Its totient is φ = 5979432960.

The previous prime is 23042371949. The next prime is 23042371969. The reversal of 23042371968 is 86917324032.

23042371968 is a `hidden beast` number, since 2 + 30 + 423 + 7 + 196 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23042371969) 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 63 ways as a sum of consecutive naturals, for example, 21554538 + ... + 21555606.

It is an arithmetic number, because the mean of its divisors is an integer number (167802750).

Almost surely, 223042371968 is an apocalyptic number.

23042371968 is a gapful number since it is divisible by the number (28) 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 23042371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42957504000).

23042371968 is an abundant number, since it is smaller than the sum of its proper divisors (62872636032).

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

23042371968 is an equidigital number, since it uses as much as digits as its factorization.

23042371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23042371968 in words is "twenty-three billion, forty-two million, three hundred seventy-one thousand, nine hundred sixty-eight".