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5086646680401 = 32111329241565507
BaseRepresentation
bin100101000000101001111…
…0001001011101101010001
3200000021112011010112211100
41022001103301023231101
51131314423022233101
614452435003335013
71033332563251536
oct112012361135521
920007464115740
105086646680401
111691264495a40
126a19ab821469
132ab890255b60
141382a3188d8d
158c4ae4b6e86
hex4a053c4bb51

5086646680401 has 96 divisors (see below), whose sum is σ = 8966604366720. Its totient is φ = 2736144230400.

The previous prime is 5086646680393. The next prime is 5086646680411. The reversal of 5086646680401 is 1040866466805.

5086646680401 is a `hidden beast` number, since 5 + 0 + 8 + 66 + 466 + 80 + 40 + 1 = 666.

It is not a de Polignac number, because 5086646680401 - 23 = 5086646680393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5086646680411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8712090 + ... + 9277596.

It is an arithmetic number, because the mean of its divisors is an integer number (93402128820).

Almost surely, 25086646680401 is an apocalyptic number.

It is an amenable number.

5086646680401 is a deficient number, since it is larger than the sum of its proper divisors (3879957686319).

5086646680401 is a wasteful number, since it uses less digits than its factorization.

5086646680401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565807 (or 565804 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5086646680401 in words is "five trillion, eighty-six billion, six hundred forty-six million, six hundred eighty thousand, four hundred one".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 241 261 319 377 429 723 957 1131 1287 2169 2651 2871 3133 3393 4147 6989 7953 9399 12441 20967 23859 28197 34463 37323 62901 76879 90857 103389 230637 272571 310167 565507 691911 817713 999427 1696521 2998281 5089563 6220577 7351591 8994843 16399703 18661731 22054773 49199109 55985193 66164319 80867501 136287187 147597327 180396733 213196139 242602503 408861561 541190199 639588417 727807509 1226584683 1499159057 1623570597 1771733431 1918765251 2345157529 3952328423 4497477171 5315200293 7035472587 11856985269 13492431513 15945600879 19489067741 21106417761 35570955807 43475612653 51380269499 58467203223 130426837959 154140808497 175401609669 391280513877 462422425491 565182964489 1695548893467 5086646680401