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55535250304 = 277114094337
BaseRepresentation
bin110011101110001010…
…001010101110000000
312022100100101000120101
4303232022022232000
51402214011002204
641302413052144
74004133560512
oct635612125600
9168310330511
1055535250304
1121609223586
12a91a787054
135310776371
14298b921bb2
1516a07c8ea4
hexcee28ab80

55535250304 has 64 divisors (see below), whose sum is σ = 112300408800. Its totient is φ = 27350794240.

The previous prime is 55535250289. The next prime is 55535250319. The reversal of 55535250304 is 40305253555.

It is an interprime number because it is at equal distance from previous prime (55535250289) and next prime (55535250319).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12802824 + ... + 12807160.

Almost surely, 255535250304 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 55535250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56150204400).

55535250304 is an abundant number, since it is smaller than the sum of its proper divisors (56765158496).

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

55535250304 is a wasteful number, since it uses less digits than its factorization.

55535250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 37.

The spelling of 55535250304 in words is "fifty-five billion, five hundred thirty-five million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 1409 2272 2818 4337 4544 5636 8674 9088 11272 17348 22544 34696 45088 69392 90176 100039 138784 180352 200078 277568 307927 400156 555136 615854 800312 1231708 1600624 2463416 3201248 4926832 6110833 6402496 9853664 12221666 12804992 19707328 24443332 39414656 48886664 97773328 195546656 391093312 433869143 782186624 867738286 1735476572 3470953144 6941906288 13883812576 27767625152 55535250304