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23038931916 = 2232721121319223
BaseRepresentation
bin10101011101001110…
…100011001111001100
32012110121211000010200
4111131032203033030
5334140431310131
614330044133500
71443632455500
oct253516431714
965417730120
1023038931916
119852970600
12456b837290
1322321707c0
141187b44300
158ec9502e6
hex55d3a33cc

23038931916 has 972 divisors, whose sum is σ = 88314525936. Its totient is φ = 5005566720.

The previous prime is 23038931863. The next prime is 23038931917. The reversal of 23038931916 is 61913983032.

23038931916 is a `hidden beast` number, since 230 + 389 + 31 + 9 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23038931917) 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 323 ways as a sum of consecutive naturals, for example, 1001692681 + ... + 1001692703.

Almost surely, 223038931916 is an apocalyptic number.

23038931916 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 23038931916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157262968).

23038931916 is an abundant number, since it is smaller than the sum of its proper divisors (65275594020).

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

23038931916 is a wasteful number, since it uses less digits than its factorization.

23038931916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 23038931916 in words is "twenty-three billion, thirty-eight million, nine hundred thirty-one thousand, nine hundred sixteen".