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55756314117 = 3471131994373
BaseRepresentation
bin110011111011010101…
…011101011000000101
312022220202100020010000
4303323111131120011
51403142104022432
641340351151513
74012456564440
oct637325353005
9168822306100
1055756314117
1121711a93049
12a980815599
1353474c705a
1429ad028657
1516b4de457c
hexcfb55d605

55756314117 has 80 divisors (see below), whose sum is σ = 96535929600. Its totient is φ = 31412924928.

The previous prime is 55756314113. The next prime is 55756314121. The reversal of 55756314117 is 71141365755.

55756314117 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 631 + 4 + 1 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (55756314113) and next prime (55756314121).

It is not a de Polignac number, because 55756314117 - 22 = 55756314113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55756314113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12747943 + ... + 12752315.

It is an arithmetic number, because the mean of its divisors is an integer number (1206699120).

Almost surely, 255756314117 is an apocalyptic number.

It is an amenable number.

55756314117 is a deficient number, since it is larger than the sum of its proper divisors (40779615483).

55756314117 is a wasteful number, since it uses less digits than its factorization.

55756314117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4695 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The spelling of 55756314117 in words is "fifty-five billion, seven hundred fifty-six million, three hundred fourteen thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 113 189 199 339 567 597 791 1017 1393 1791 2373 3051 4179 4373 5373 7119 9153 12537 13119 16119 21357 22487 30611 37611 39357 64071 67461 91833 112833 118071 157409 202383 275499 354213 472227 494149 607149 826497 870227 1416681 1482447 1821447 2479491 2610681 3459043 4250043 4447341 6091589 7832043 10377129 12750129 13342023 18274767 23496129 31131387 40026069 54824301 70488387 93394161 98335651 164472903 280182483 295006953 493418709 688349557 885020859 2065048671 2655062577 6195146013 7965187731 18585438039 55756314117