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55670561856 = 26327133134261
BaseRepresentation
bin110011110110001110…
…010101110001000000
312022200202222120010100
4303312032111301000
51403003130434411
641324045202400
74010365653030
oct636616256100
9168622876110
1055670561856
1121678643108
12a957b60400
135332801680
1429a18a58c0
1516ac606456
hexcf6395c40

55670561856 has 336 divisors, whose sum is σ = 202734558208. Its totient is φ = 14208307200.

The previous prime is 55670561839. The next prime is 55670561867. The reversal of 55670561856 is 65816507655.

55670561856 is a `hidden beast` number, since 5 + 5 + 6 + 70 + 561 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×556705618562 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1607766 + ... + 1642026.

Almost surely, 255670561856 is an apocalyptic number.

55670561856 is a gapful number since it is divisible by the number (56) 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 55670561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101367279104).

55670561856 is an abundant number, since it is smaller than the sum of its proper divisors (147063996352).

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

55670561856 is a wasteful number, since it uses less digits than its factorization.

55670561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34330 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 55670561856 in words is "fifty-five billion, six hundred seventy million, five hundred sixty-one thousand, eight hundred fifty-six".