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55883210688 = 2633611513511
BaseRepresentation
bin110100000010111001…
…100001111111000000
312100020121010020111000
4310002321201333000
51403422100220223
641401123052000
74015560311334
oct640271417700
9170217106430
1055883210688
1121777685348
12a9b7211000
135367897096
1429c1c1b7c4
1516c110d543
hexd02e61fc0

55883210688 has 224 divisors, whose sum is σ = 168133207040. Its totient is φ = 18195840000.

The previous prime is 55883210683. The next prime is 55883210689. The reversal of 55883210688 is 88601238855.

It is a happy number.

55883210688 is a `hidden beast` number, since 558 + 8 + 3 + 2 + 1 + 0 + 6 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55883210681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15914853 + ... + 15918363.

Almost surely, 255883210688 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 55883210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84066603520).

55883210688 is an abundant number, since it is smaller than the sum of its proper divisors (112249996352).

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

55883210688 is a wasteful number, since it uses less digits than its factorization.

55883210688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 55883210688 in words is "fifty-five billion, eight hundred eighty-three million, two hundred ten thousand, six hundred eighty-eight".