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76561401211020 = 223351112889124783
BaseRepresentation
bin10001011010000111010111…
…000111110110100010001100
3101001002012100200120201212000
4101122013113013312202030
540013340222202223040
6430455453330512300
722061243615506605
oct2132072707664214
9331065320521760
1076561401211020
1122438565039670
128706142435690
13339492b02549b
1414c983d476dac
158cb80ed48130
hex45a1d71f688c

76561401211020 has 96 divisors (see below), whose sum is σ = 259844755645440. Its totient is φ = 18560339686080.

The previous prime is 76561401211019. The next prime is 76561401211033. The reversal of 76561401211020 is 2011210416567.

76561401211020 is a `hidden beast` number, since 7 + 6 + 5 + 614 + 0 + 1 + 2 + 1 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6444556452 + ... + 6444568331.

It is an arithmetic number, because the mean of its divisors is an integer number (2706716204640).

Almost surely, 276561401211020 is an apocalyptic number.

It is an amenable number.

76561401211020 is an abundant number, since it is smaller than the sum of its proper divisors (183283354434420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76561401211020 is a wasteful number, since it uses less digits than its factorization.

76561401211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889124812 (or 12889124804 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 76561401211020 its reverse (2011210416567), we get a palindrome (78572611627587).

The spelling of 76561401211020 in words is "seventy-six trillion, five hundred sixty-one billion, four hundred one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 12889124783 25778249566 38667374349 51556499132 64445623915 77334748698 116002123047 128891247830 141780372613 154669497396 193336871745 232004246094 257782495660 283560745226 348006369141 386673743490 425341117839 464008492188 567121490452 580010615235 696012738282 708901863065 773347486980 850682235678 1160021230470 1276023353517 1392025476564 1417803726130 1701364471356 1740031845705 2126705589195 2320042460940 2552046707034 2835607452260 3480063691410 3828070060551 4253411178390 5104093414068 6380116767585 6960127382820 7656140121102 8506822356780 12760233535170 15312280242204 19140350302755 25520467070340 38280700605510 76561401211020