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55125710640 = 243257111376487
BaseRepresentation
bin110011010101101111…
…111001011100110000
312021021210202020202200
4303111233321130300
51400344140220030
641154023143200
73661031544360
oct632557713460
9167253666680
1055125710640
1121419032350
12a8255a4b00
1352769748c0
14294d3969a0
15167987dd60
hexcd5bf9730

55125710640 has 480 divisors, whose sum is σ = 248570090496. Its totient is φ = 10573424640.

The previous prime is 55125710639. The next prime is 55125710677. The reversal of 55125710640 is 4601752155.

55125710640 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 5 + 7 + 1 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55125710595 and 55125710604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682477 + ... + 758963.

Almost surely, 255125710640 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 55125710640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124285045248).

55125710640 is an abundant number, since it is smaller than the sum of its proper divisors (193444379856).

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

55125710640 is a wasteful number, since it uses less digits than its factorization.

55125710640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76537 (or 76528 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55125710640 in words is "fifty-five billion, one hundred twenty-five million, seven hundred ten thousand, six hundred forty".