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105157664878 = 27233179133351
BaseRepresentation
bin110000111101111100…
…0101010000001101110
3101001102121200212100211
41201323320222001232
53210330330234003
6120150405413034
710411622255230
oct1417370520156
9331377625324
10105157664878
1140662840062
121846910a17a
139bbb221c56
145138044250
152b06e3696d
hex187be2a06e

105157664878 has 64 divisors (see below), whose sum is σ = 196635525120. Its totient is φ = 41189148000.

The previous prime is 105157664873. The next prime is 105157664959. The reversal of 105157664878 is 878466751501.

It is a super-2 number, since 2×1051576648782 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157664873) 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 31 ways as a sum of consecutive naturals, for example, 721903 + ... + 855253.

It is an arithmetic number, because the mean of its divisors is an integer number (3072430080).

Almost surely, 2105157664878 is an apocalyptic number.

105157664878 is a deficient number, since it is larger than the sum of its proper divisors (91477860242).

105157664878 is a wasteful number, since it uses less digits than its factorization.

105157664878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133493.

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 105157664878 in words is "one hundred five billion, one hundred fifty-seven million, six hundred sixty-four thousand, eight hundred seventy-eight".

Divisors: 1 2 7 14 23 31 46 62 79 158 161 217 322 434 553 713 1106 1426 1817 2449 3634 4898 4991 9982 12719 17143 25438 34286 56327 112654 133351 266702 394289 788578 933457 1866914 3067073 4133881 6134146 8267762 10534729 21069458 21469511 28937167 42939022 57874334 73743103 95079263 147486206 190158526 242298767 326576599 484597534 653153198 665554841 1331109682 1696091369 2286036193 3392182738 4572072386 7511261777 15022523554 52578832439 105157664878