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768828756157 = 71131166148571
BaseRepresentation
bin10110011000000011100…
…00111101000010111101
32201111110222221111002221
423030001300331002331
5100044030130144112
61345110044245341
7106355202413050
oct13140160750275
92644428844087
10768828756157
11277070875950
12105007240851
135766704aba7
14292d6554a97
1514eeb95ce07
hexb301c3d0bd

768828756157 has 32 divisors (see below), whose sum is σ = 963096496128. Its totient is φ = 596245320000.

The previous prime is 768828756149. The next prime is 768828756173. The reversal of 768828756157 is 751657828867.

It is not a de Polignac number, because 768828756157 - 23 = 768828756149 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 (768828753157) 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, 15804682 + ... + 15853252.

It is an arithmetic number, because the mean of its divisors is an integer number (30096765504).

Almost surely, 2768828756157 is an apocalyptic number.

768828756157 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

768828756157 is a deficient number, since it is larger than the sum of its proper divisors (194267739971).

768828756157 is a wasteful number, since it uses less digits than its factorization.

768828756157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49561.

The product of its digits is 316108800, while the sum is 70.

The spelling of 768828756157 in words is "seven hundred sixty-eight billion, eight hundred twenty-eight million, seven hundred fifty-six thousand, one hundred fifty-seven".

Divisors: 1 7 11 77 311 661 2177 3421 4627 7271 23947 48571 50897 205571 339997 534281 1438997 2261281 3739967 15105581 15828967 32105431 105739067 166161391 224738017 353159741 1163129737 2472118187 9984789041 69893523287 109832679451 768828756157