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55649685960 = 233451121931241
BaseRepresentation
bin110011110100111110…
…101101000111001000
312022122022200221210000
4303310332231013020
51402432304422320
641322021523000
74010023345251
oct636476550710
9168568627700
1055649685960
1121667884800
12a950b73460
13532b3a267b
14299cbcdb28
1516aa880c90
hexcf4fad1c8

55649685960 has 960 divisors, whose sum is σ = 224323545600. Its totient is φ = 12317184000.

The previous prime is 55649685943. The next prime is 55649685977. The reversal of 55649685960 is 6958694655.

55649685960 is a `hidden beast` number, since 5 + 5 + 6 + 496 + 85 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (55649685943) and next prime (55649685977).

It is a super-2 number, since 2×556496859602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 230911440 + ... + 230911680.

It is an arithmetic number, because the mean of its divisors is an integer number (233670360).

Almost surely, 255649685960 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 55649685960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112161772800).

55649685960 is an abundant number, since it is smaller than the sum of its proper divisors (168673859640).

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

55649685960 is a wasteful number, since it uses less digits than its factorization.

55649685960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 55649685960 in words is "fifty-five billion, six hundred forty-nine million, six hundred eighty-five thousand, nine hundred sixty".