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55578000276 = 22321832984229
BaseRepresentation
bin110011110000101101…
…001111101110010100
312022110022210221111200
4303300231033232110
51402310432002101
641310541232500
74005163131141
oct636055175624
9168408727450
1055578000276
1121630372237
12a930b62730
1353195937c6
14299348d3c8
1516a4420986
hexcf0b4fb94

55578000276 has 36 divisors (see below), whose sum is σ = 140498166900. Its totient is φ = 18524769408.

The previous prime is 55578000259. The next prime is 55578000281. The reversal of 55578000276 is 67200087555.

55578000276 is a `hidden beast` number, since 5 + 5 + 578 + 0 + 0 + 0 + 2 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13753660176 + 41824340100 = 117276^2 + 204510^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×555780002762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617730 + ... + 701958.

Almost surely, 255578000276 is an apocalyptic number.

It is an amenable number.

55578000276 is an abundant number, since it is smaller than the sum of its proper divisors (84920166624).

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

55578000276 is a wasteful number, since it uses less digits than its factorization.

55578000276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102568 (or 102563 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 55578000276 in words is "fifty-five billion, five hundred seventy-eight million, two hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 18329 36658 54987 73316 84229 109974 164961 168458 219948 252687 329922 336916 505374 659844 758061 1010748 1516122 3032244 1543833341 3087666682 4631500023 6175333364 9263000046 13894500069 18526000092 27789000138 55578000276