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55903045968 = 24337112389821
BaseRepresentation
bin110100000100000101…
…001100100101010000
312100021222102222101000
4310010011030211100
51403442134432333
641403112142000
74016221023210
oct640405144520
9170258388330
1055903045968
11217878a2940
12aa01997900
13536ba20533
1429c4702240
1516c2c2a713
hexd0414c950

55903045968 has 640 divisors, whose sum is σ = 211357900800. Its totient is φ = 13716172800.

The previous prime is 55903045951. The next prime is 55903045987. The reversal of 55903045968 is 86954030955.

It is a happy number.

55903045968 is a `hidden beast` number, since 5 + 590 + 3 + 0 + 45 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68090998 + ... + 68091818.

It is an arithmetic number, because the mean of its divisors is an integer number (330246720).

Almost surely, 255903045968 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 55903045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105678950400).

55903045968 is an abundant number, since it is smaller than the sum of its proper divisors (155454854832).

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

55903045968 is a wasteful number, since it uses less digits than its factorization.

55903045968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 55903045968 in words is "fifty-five billion, nine hundred three million, forty-five thousand, nine hundred sixty-eight".