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6890056992 = 253572132107
BaseRepresentation
bin1100110101010110…
…11110110100100000
3122210011212011100000
412122223132310200
5103102323310432
63055405500000
7332512342500
oct63253366440
918704764300
106890056992
112a16291885
121403571600
1385a5c0800
144950dba00
152a4d4d57c
hex19aaded20

6890056992 has 648 divisors, whose sum is σ = 25833998736. Its totient is φ = 1800175104.

The previous prime is 6890056967. The next prime is 6890057023. The reversal of 6890056992 is 2996500986.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64393003 + ... + 64393109.

It is an arithmetic number, because the mean of its divisors is an integer number (39867282).

Almost surely, 26890056992 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 6890056992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916999368).

6890056992 is an abundant number, since it is smaller than the sum of its proper divisors (18943941744).

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

6890056992 is a wasteful number, since it uses less digits than its factorization.

6890056992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 6890056992 is about 83006.3671774642. The cubic root of 6890056992 is about 1902.8633642706.

The spelling of 6890056992 in words is "six billion, eight hundred ninety million, fifty-six thousand, nine hundred ninety-two".