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55976553360 = 24345721371191
BaseRepresentation
bin110100001000011101…
…100110101110010000
312100111002202112120000
4310020131212232100
51404114444201420
641414255450000
74021102565400
oct641035465620
9170432675500
1055976553360
112181533a052
12aa22526900
135381019630
1429d0398800
1516c93ea690
hexd08766b90

55976553360 has 1200 divisors, whose sum is σ = 248276109312. Its totient is φ = 11583129600.

The previous prime is 55976553343. The next prime is 55976553371. The reversal of 55976553360 is 6335567955.

It is a happy number.

55976553360 is a `hidden beast` number, since 5 + 59 + 7 + 6 + 553 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55976553297 and 55976553306.

It is a congruent number.

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, 293070865 + ... + 293071055.

Almost surely, 255976553360 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 55976553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124138054656).

55976553360 is an abundant number, since it is smaller than the sum of its proper divisors (192299555952).

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

55976553360 is a wasteful number, since it uses less digits than its factorization.

55976553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12757500, while the sum is 54.

The spelling of 55976553360 in words is "fifty-five billion, nine hundred seventy-six million, five hundred fifty-three thousand, three hundred sixty".