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2130925612032 = 210337311632179
BaseRepresentation
bin11111000000100101000…
…100000110110000000000
321112201021212111001121000
4133000211010012300000
5234403113424041112
64310533403132000
7306645215562540
oct37004504066000
97481255431530
102130925612032
117517a1a55a38
122a4ba2814000
13125c3a12c219
14751ccc61320
153a66c22b7dc
hex1f025106c00

2130925612032 has 704 divisors, whose sum is σ = 7494076825600. Its totient is φ = 585312583680.

The previous prime is 2130925612009. The next prime is 2130925612073. The reversal of 2130925612032 is 2302165290312.

2130925612032 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 2 + 5 + 612 + 0 + 32 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 977936319 + ... + 977938497.

Almost surely, 22130925612032 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 2130925612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747038412800).

2130925612032 is an abundant number, since it is smaller than the sum of its proper divisors (5363151213568).

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

2130925612032 is a wasteful number, since it uses less digits than its factorization.

2130925612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2130925612032 in words is "two trillion, one hundred thirty billion, nine hundred twenty-five million, six hundred twelve thousand, thirty-two".