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55607056640 = 285118736599
BaseRepresentation
bin110011110010011100…
…000101100100000000
312022112100111011100022
4303302130011210000
51402340401303030
641313500113012
74005665116442
oct636234054400
9168470434308
1055607056640
1121645808763
12a93a835768
1353225c8115
142997294492
1516a6c5ede5
hexcf2705900

55607056640 has 72 divisors (see below), whose sum is σ = 133312132800. Its totient is φ = 22223476736.

The previous prime is 55607056607. The next prime is 55607056643. The reversal of 55607056640 is 4665070655.

It is a junction number, because it is equal to n+sod(n) for n = 55607056591 and 55607056600.

It is not an unprimeable number, because it can be changed into a prime (55607056643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501061 + ... + 1537659.

It is an arithmetic number, because the mean of its divisors is an integer number (1851557400).

Almost surely, 255607056640 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 55607056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66656066400).

55607056640 is an abundant number, since it is smaller than the sum of its proper divisors (77705076160).

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

55607056640 is a wasteful number, since it uses less digits than its factorization.

55607056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37807 (or 37793 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 55607056640 in words is "fifty-five billion, six hundred seven million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1187 1280 2374 4748 5935 9496 11870 18992 23740 36599 37984 47480 73198 75968 94960 146396 151936 182995 189920 292792 303872 365990 379840 585584 731980 759680 1171168 1463960 1519360 2342336 2927920 4684672 5855840 9369344 11711680 23423360 43443013 46846720 86886026 173772052 217215065 347544104 434430130 695088208 868860260 1390176416 1737720520 2780352832 3475441040 5560705664 6950882080 11121411328 13901764160 27803528320 55607056640