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15230896128 = 211337192109
BaseRepresentation
bin11100010111101010…
…10000100000000000
31110022110121200122000
432023311100200000
5222143102134003
610555202544000
71046302323660
oct161365204000
943273550560
1015230896128
116506497768
122b50968000
131589630196
14a46b6a1a0
155e22231a3
hex38bd50800

15230896128 has 576 divisors, whose sum is σ = 54918864000. Its totient is φ = 4084826112.

The previous prime is 15230896103. The next prime is 15230896133. The reversal of 15230896128 is 82169803251.

15230896128 is a `hidden beast` number, since 1 + 5 + 23 + 0 + 8 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139732938 + ... + 139733046.

It is an arithmetic number, because the mean of its divisors is an integer number (95345250).

Almost surely, 215230896128 is an apocalyptic number.

15230896128 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 15230896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459432000).

15230896128 is an abundant number, since it is smaller than the sum of its proper divisors (39687967872).

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

15230896128 is a wasteful number, since it uses less digits than its factorization.

15230896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 15230896128 in words is "fifteen billion, two hundred thirty million, eight hundred ninety-six thousand, one hundred twenty-eight".