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23138390016 = 21239741
BaseRepresentation
bin10101100011001001…
…111101000000000000
32012201112222000000000
4111203021331000000
5334341411440031
614344000000000
71446251033010
oct254311750000
965645860000
1023138390016
1198a4021985
124599000000
132249954751
141197033c40
159065493e6
hex56327d000

23138390016 has 520 divisors, whose sum is σ = 81255244224. Its totient is φ = 6449725440.

The previous prime is 23138390003. The next prime is 23138390053. The reversal of 23138390016 is 61009383132.

23138390016 is a `hidden beast` number, since 231 + 38 + 390 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564350956 + ... + 564350996.

Almost surely, 223138390016 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 23138390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40627622112).

23138390016 is an abundant number, since it is smaller than the sum of its proper divisors (58116854208).

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

23138390016 is an frugal number, since it uses more digits than its factorization.

23138390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 23138390016 in words is "twenty-three billion, one hundred thirty-eight million, three hundred ninety thousand, sixteen".