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15138233208 = 23367601617
BaseRepresentation
bin11100001100100111…
…10001101101111000
31110002000020221000000
432012103301231320
5222000341430313
610542052513000
71044065600460
oct160623615570
943060227000
1015138233208
11646915773a
122b2591b760
131573388157
14a38728ba0
155d901c673
hex3864f1b78

15138233208 has 224 divisors, whose sum is σ = 48796241760. Its totient is φ = 4311014400.

The previous prime is 15138233203. The next prime is 15138233221. The reversal of 15138233208 is 80233283151.

It is a happy number.

It is a super-2 number, since 2×151382332082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15138233203) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24534916 + ... + 24535532.

It is an arithmetic number, because the mean of its divisors is an integer number (217840365).

Almost surely, 215138233208 is an apocalyptic number.

15138233208 is a gapful number since it is divisible by the number (18) 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 15138233208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398120880).

15138233208 is an abundant number, since it is smaller than the sum of its proper divisors (33658008552).

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

15138233208 is an equidigital number, since it uses as much as digits as its factorization.

15138233208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15138233208 in words is "fifteen billion, one hundred thirty-eight million, two hundred thirty-three thousand, two hundred eight".