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23006648751912 = 23327739735917957
BaseRepresentation
bin1010011101100101001110…
…01000000101011100101000
310000110102011220112101002200
411032302213020011130220
511003420104040030122
6120533035235300200
74563114126522240
oct516624710053450
9100412156471080
1023006648751912
117370079490501
1226b6a1414a660
13cab696417567
1459775619ab20
1529d6c81605ac
hex14eca7205728

23006648751912 has 384 divisors, whose sum is σ = 73137963225600. Its totient is φ = 6398215225344.

The previous prime is 23006648751859. The next prime is 23006648751913. The reversal of 23006648751912 is 21915784660032.

It is a happy number.

23006648751912 is a `hidden beast` number, since 2 + 30 + 0 + 6 + 6 + 4 + 87 + 519 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (23006648751913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1281198838 + ... + 1281216794.

It is an arithmetic number, because the mean of its divisors is an integer number (190463445900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅23006648751912 = 46013297503824, but 3⋅23006648751912 = 69019946255736 is not.

Almost surely, 223006648751912 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 23006648751912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36568981612800).

23006648751912 is an abundant number, since it is smaller than the sum of its proper divisors (50131314473688).

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

23006648751912 is a wasteful number, since it uses less digits than its factorization.

23006648751912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 23006648751912 in words is "twenty-three trillion, six billion, six hundred forty-eight million, seven hundred fifty-one thousand, nine hundred twelve".