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6904954056 = 233711213172953
BaseRepresentation
bin1100110111001000…
…10011110011001000
3122211012220000021010
412123210103303020
5103120132012211
63101101043520
7333053066250
oct63344236310
918735800233
106904954056
112a23737200
1214085565a0
13860708340
14497098960
152a62e24a6
hex19b913cc8

6904954056 has 768 divisors, whose sum is σ = 26062041600. Its totient is φ = 1476034560.

The previous prime is 6904954051. The next prime is 6904954093. The reversal of 6904954056 is 6504594096.

It is a super-2 number, since 2×69049540562 = 95356781030941702272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6904953996 and 6904954014.

It is not an unprimeable number, because it can be changed into a prime (6904954051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130282126 + ... + 130282178.

It is an arithmetic number, because the mean of its divisors is an integer number (33934950).

Almost surely, 26904954056 is an apocalyptic number.

6904954056 is a gapful number since it is divisible by the number (66) 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 6904954056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031020800).

6904954056 is an abundant number, since it is smaller than the sum of its proper divisors (19157087544).

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

6904954056 is a wasteful number, since it uses less digits than its factorization.

6904954056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 6904954056 is about 83096.0531914723. The cubic root of 6904954056 is about 1904.2337773175.

The spelling of 6904954056 in words is "six billion, nine hundred four million, nine hundred fifty-four thousand, fifty-six".