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76796443436164 = 2273219323112
BaseRepresentation
bin10001011101100010010000…
…101110110010010010000100
3101001220200001011222220021221
4101131202100232302102010
540031213104004424124
6431155444333250124
722114234313453404
oct2135422056622204
9331820034886257
1076796443436164
1122519209271211
1287437b9633944
1333b0b4823090a
1414d6d794d6804
158d29b98ddce4
hex45d890bb2484

76796443436164 has 81 divisors (see below), whose sum is σ = 137411507537199. Its totient is φ = 37554844907520.

The previous prime is 76796443436159. The next prime is 76796443436177. The reversal of 76796443436164 is 46163434469767.

The square root of 76796443436164 is 8763358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3118254476164 + 73678188960000 = 1765858^2 + 8583600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76796443436093 and 76796443436102.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 246933901569 + ... + 246933901879.

Almost surely, 276796443436164 is an apocalyptic number.

76796443436164 is the 8763358-th square number.

It is an amenable number.

76796443436164 is a deficient number, since it is larger than the sum of its proper divisors (60615064101035).

76796443436164 is an frugal number, since it uses more digits than its factorization.

76796443436164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 70.

The spelling of 76796443436164 in words is "seventy-six trillion, seven hundred ninety-six billion, four hundred forty-three million, four hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 73 146 193 292 311 386 622 772 1244 5329 10658 14089 21316 22703 28178 37249 45406 56356 60023 74498 90812 96721 120046 148996 193442 240092 386884 1028497 1657319 2056994 2719177 3314638 4113988 4381679 5438354 6629276 7060633 8763358 10876708 11584439 14121266 17526716 18667153 23168878 28242532 37334306 46337756 74668612 198499921 319862567 396999842 515426209 639725134 793999684 845664047 1030852418 1279450268 1362702169 1691328094 2061704836 2725404338 3382656188 3602760529 5450808676 7205521058 14411042116 61733475431 99477258337 123466950862 198954516674 246933901724 263001518617 397909033348 526003037234 1052006074468 19199110859041 38398221718082 76796443436164