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76756086057 = 3719210398299
BaseRepresentation
bin100011101111100000…
…1001110110100101001
321100010021010011122010
41013133001032310221
52224144024223212
655132233150133
75355041652360
oct1073701166451
9240107104563
1076756086057
112a60889a572
1212a6155b349
13731305c101
143a01ddc7d7
151ee37e903c
hex11df04ed29

76756086057 has 48 divisors (see below), whose sum is σ = 124641254400. Its totient is φ = 41148329184.

The previous prime is 76756086053. The next prime is 76756086083. The reversal of 76756086057 is 75068065767.

It is not a de Polignac number, because 76756086057 - 22 = 76756086053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 76756085988 and 76756086006.

It is not an unprimeable number, because it can be changed into a prime (76756086053) 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 47 ways as a sum of consecutive naturals, for example, 731694 + ... + 829992.

It is an arithmetic number, because the mean of its divisors is an integer number (2596692800).

Almost surely, 276756086057 is an apocalyptic number.

It is an amenable number.

76756086057 is a deficient number, since it is larger than the sum of its proper divisors (47885168343).

76756086057 is a wasteful number, since it uses less digits than its factorization.

76756086057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98450 (or 98431 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 76756086057 in words is "seventy-six billion, seven hundred fifty-six million, eighty-six thousand, fifty-seven".

Divisors: 1 3 7 19 21 57 103 133 309 361 399 721 1083 1957 2163 2527 5871 7581 13699 37183 41097 98299 111549 260281 294897 688093 780843 1867681 2064279 5603043 10124797 13073767 30374391 35485939 39221301 70873579 106457817 192371143 212620737 248401573 577113429 745204719 1346598001 3655051717 4039794003 10965155151 25585362019 76756086057