Search a number
-
+
76561332841296 = 2434135374363973
BaseRepresentation
bin10001011010000111010011…
…000011000010101101010000
3101001002012011220221012020000
4101122013103003002231100
540013340102201410141
6430455442445250000
722061242125413142
oct2132072303025520
9331065156835200
1076561332841296
112243852a491466
128706123563900
133394919b07a24
1414c983435ac92
158cb808d405b6
hex45a1d30c2b50

76561332841296 has 100 divisors (see below), whose sum is σ = 221607129525012. Its totient is φ = 25518553196544.

The previous prime is 76561332841277. The next prime is 76561332841297. The reversal of 76561332841296 is 69214823316567.

76561332841296 is a `hidden beast` number, since 7 + 6 + 5 + 6 + 1 + 332 + 8 + 4 + 1 + 296 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47624077040400 + 28937255800896 = 6901020^2 + 5379336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76561332841297) 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 19 ways as a sum of consecutive naturals, for example, 15361966 + ... + 19725938.

Almost surely, 276561332841296 is an apocalyptic number.

It is an amenable number.

76561332841296 is an abundant number, since it is smaller than the sum of its proper divisors (145045796683716).

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

76561332841296 is a wasteful number, since it uses less digits than its factorization.

76561332841296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377530 (or 4377515 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 76561332841296 in words is "seventy-six trillion, five hundred sixty-one billion, three hundred thirty-two million, eight hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 13537 27074 40611 54148 81222 108296 121833 162444 216592 243666 324888 365499 487332 649776 730998 974664 1096497 1461996 1949328 2192994 2923992 4363973 4385988 5847984 8727946 8771976 13091919 17455892 17543952 26183838 34911784 39275757 52367676 69823568 78551514 104735352 117827271 157103028 209470704 235654542 314206056 353481813 471309084 628412112 706963626 942618168 1413927252 1885236336 2827854504 5655709008 59075102501 118150205002 177225307503 236300410004 354450615006 472600820008 531675922509 708901230012 945201640016 1063351845018 1417802460024 1595027767527 2126703690036 2835604920048 3190055535054 4253407380072 4785083302581 6380111070108 8506814760144 9570166605162 12760222140216 19140333210324 25520444280432 38280666420648 76561332841296