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5057057205057 = 31113291672434031
BaseRepresentation
bin100100110010111000000…
…0110010010101101000001
3122220110011000022110102010
41021211300012102231001
51130323323121030212
614431102514243133
71031234410000554
oct111456006225501
918813130273363
105057057205057
11167a75aa56190
126981122864a9
132a8b55c48970
14136a9748469b
158b82b93003c
hex49970192b41

5057057205057 has 64 divisors (see below), whose sum is σ = 8243774300160. Its totient is φ = 2715209145600.

The previous prime is 5057057205037. The next prime is 5057057205091. The reversal of 5057057205057 is 7505027507505.

It is not a de Polignac number, because 5057057205057 - 231 = 5054909721409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5057057204997 and 5057057205015.

It is not an unprimeable number, because it can be changed into a prime (5057057205037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860632 + ... + 3294662.

It is an arithmetic number, because the mean of its divisors is an integer number (128808973440).

Almost surely, 25057057205057 is an apocalyptic number.

It is an amenable number.

5057057205057 is a deficient number, since it is larger than the sum of its proper divisors (3186717095103).

5057057205057 is a wasteful number, since it uses less digits than its factorization.

5057057205057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434254.

The product of its (nonzero) digits is 2143750, while the sum is 48.

The spelling of 5057057205057 in words is "five trillion, fifty-seven billion, fifty-seven million, two hundred five thousand, fifty-seven".

Divisors: 1 3 11 13 29 33 39 87 143 167 319 377 429 501 957 1131 1837 2171 4147 4843 5511 6513 12441 14529 23881 53273 62959 71643 159819 188877 692549 2077647 2434031 7302093 26774341 31642403 70586899 80323023 94927209 211760697 348066433 406483177 776455889 917629687 1044199299 1219449531 2329367667 2752889061 4471314947 5284281301 10093926557 11788012133 13413944841 15852843903 30281779671 35364036399 58127094311 129668133463 153244157729 174381282933 389004400389 459732473187 1685685735019 5057057205057