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55669807872 = 2833721941211
BaseRepresentation
bin110011110110001011…
…011101101100000000
312022200201120020212000
4303312023131230000
51403002432322442
641324021104000
74010356362600
oct636613355400
9168621506760
1055669807872
1121678178688
12a957858000
1353325c9423
1429a174ac00
1516ac507d4c
hexcf62ddb00

55669807872 has 864 divisors, whose sum is σ = 207477446400. Its totient is φ = 14631321600.

The previous prime is 55669807807. The next prime is 55669807883. The reversal of 55669807872 is 27870896655.

55669807872 is a `hidden beast` number, since 556 + 6 + 9 + 8 + 0 + 7 + 8 + 72 = 666.

55669807872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 263837847 + ... + 263838057.

Almost surely, 255669807872 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 55669807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103738723200).

55669807872 is an abundant number, since it is smaller than the sum of its proper divisors (151807638528).

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

55669807872 is a wasteful number, since it uses less digits than its factorization.

55669807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 55669807872 in words is "fifty-five billion, six hundred sixty-nine million, eight hundred seven thousand, eight hundred seventy-two".