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216902593152 = 27357996209
BaseRepresentation
bin1100101000000001100…
…1101110101010000000
3202201212022111101100000
43022000121232222000
512023204030440102
6243351011200000
721446022423150
oct3120031565200
9681768441300
10216902593152
1183a9594a653
12360542a6000
13175b909919b
14a6d8c86760
15599730a01c
hex328066ea80

216902593152 has 192 divisors, whose sum is σ = 739745697600. Its totient is φ = 61972107264.

The previous prime is 216902593147. The next prime is 216902593189. The reversal of 216902593152 is 251395209612.

216902593152 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 0 + 2 + 593 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 216902593098 and 216902593107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280377 + ... + 715832.

It is an arithmetic number, because the mean of its divisors is an integer number (3852842175).

Almost surely, 2216902593152 is an apocalyptic number.

It is an amenable number.

216902593152 is an abundant number, since it is smaller than the sum of its proper divisors (522843104448).

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

216902593152 is an frugal number, since it uses more digits than its factorization.

216902593152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996245 (or 996221 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 216902593152 in words is "two hundred sixteen billion, nine hundred two million, five hundred ninety-three thousand, one hundred fifty-two".