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55750117167 = 32196167241331
BaseRepresentation
bin110011111010111101…
…110100011100101111
312022220022200101111100
4303322331310130233
51403134012222132
641340010254143
74012353114513
oct637275643457
9168808611440
1055750117167
11217095401a8
12a97a727353
135346137514
1429ac294143
1516b45bd37c
hexcfaf7472f

55750117167 has 96 divisors (see below), whose sum is σ = 88069879040. Its totient is φ = 33872256000.

The previous prime is 55750117153. The next prime is 55750117177. The reversal of 55750117167 is 76171105755.

55750117167 is a `hidden beast` number, since 5 + 575 + 0 + 1 + 1 + 71 + 6 + 7 = 666.

It is not a de Polignac number, because 55750117167 - 28 = 55750116911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55750117147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168429192 + ... + 168429522.

Almost surely, 255750117167 is an apocalyptic number.

55750117167 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

55750117167 is a deficient number, since it is larger than the sum of its proper divisors (32319761873).

55750117167 is a wasteful number, since it uses less digits than its factorization.

55750117167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 45.

The spelling of 55750117167 in words is "fifty-five billion, seven hundred fifty million, one hundred seventeen thousand, one hundred sixty-seven".

Divisors: 1 3 9 19 57 61 67 171 183 201 241 331 549 603 723 993 1159 1273 2169 2979 3477 3819 4087 4579 6289 10431 11457 12261 13737 14701 16147 18867 20191 22177 36783 41211 44103 48441 56601 60573 66531 77653 79771 132309 145323 181719 199593 232959 239313 279319 306793 383629 421363 698877 717939 837957 920379 984967 1150887 1264089 1352797 1515649 2513871 2761137 2954901 3452661 3792267 4058391 4546947 4866031 5344657 8864703 12175173 13640841 14598093 16033971 18714373 25703143 43794279 48101913 56143119 77109429 92454589 101548483 168429357 231328287 277363767 304645449 326024077 832091301 913936347 978072231 2934216693 6194457463 18583372389 55750117167