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10045114082055 = 3251319903743957
BaseRepresentation
bin1001001000101100111101…
…1101001110001100000111
31022120022012021100002001100
42102023033131032030013
52304034343201111210
633210354532231143
72054510201615313
oct222131735161407
938508167302040
1010045114082055
113223122029658
12116298846b4b3
1357b3338a0a30
1426a2869b6b43
1512646a8b85c0
hex922cf74e307

10045114082055 has 48 divisors (see below), whose sum is σ = 19737768042720. Its totient is φ = 4685008667904.

The previous prime is 10045114082027. The next prime is 10045114082083. The reversal of 10045114082055 is 55028041154001.

10045114082055 is a `hidden beast` number, since 1 + 0 + 0 + 45 + 1 + 1 + 408 + 205 + 5 = 666.

10045114082055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10045114082027) and next prime (10045114082083).

It is not a de Polignac number, because 10045114082055 - 27 = 10045114081927 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451860864 + ... + 451883093.

It is an arithmetic number, because the mean of its divisors is an integer number (411203500890).

Almost surely, 210045114082055 is an apocalyptic number.

10045114082055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10045114082055 is a deficient number, since it is larger than the sum of its proper divisors (9692653960665).

10045114082055 is a wasteful number, since it uses less digits than its factorization.

10045114082055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903744000 (or 903743997 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 10045114082055 in words is "ten trillion, forty-five billion, one hundred fourteen million, eighty-two thousand, fifty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 3705 11115 903743957 2711231871 4518719785 8133695613 11748671441 13556159355 17171135183 35246014323 40668478065 51513405549 58743357205 85855675915 105738042969 154540216647 176230071615 223224757379 257567027745 528690214845 669674272137 772701083235 1116123786895 2009022816411 3348371360685 10045114082055