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76513011561 = 3472911341179
BaseRepresentation
bin100011101000010000…
…1111110011101101001
321022111022201201010000
41013100201332131221
52223144312332221
655052151213213
75346030603360
oct1072041763551
9238438651100
1076513011561
112a4a3667058
12129b4077209
1372a48a2a4c
1439bba067d7
151ecc2d1e26
hex11d087e769

76513011561 has 80 divisors (see below), whose sum is σ = 136328860800. Its totient is φ = 41839483392.

The previous prime is 76513011559. The next prime is 76513011569. The reversal of 76513011561 is 16511031567.

76513011561 is a `hidden beast` number, since 7 + 6 + 51 + 30 + 11 + 561 = 666.

It is not a de Polignac number, because 76513011561 - 21 = 76513011559 is a prime.

It is a super-3 number, since 3×765130115613 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76513011569) 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 79 ways as a sum of consecutive naturals, for example, 1837470 + ... + 1878648.

It is an arithmetic number, because the mean of its divisors is an integer number (1704110760).

Almost surely, 276513011561 is an apocalyptic number.

It is an amenable number.

76513011561 is a deficient number, since it is larger than the sum of its proper divisors (59815849239).

76513011561 is a wasteful number, since it uses less digits than its factorization.

76513011561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41340 (or 41331 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 76513011561 in words is "seventy-six billion, five hundred thirteen million, eleven thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 113 189 203 261 339 567 609 783 791 1017 1827 2349 2373 3051 3277 5481 7119 9153 9831 16443 21357 22939 29493 41179 64071 68817 88479 123537 206451 265437 288253 370611 619353 864759 1111833 1194191 1858059 2594277 3335499 3582573 4653227 7782831 8359337 10747719 13959681 23348493 25078011 32243157 32572589 41879043 75234033 96729471 97717767 125637129 134943583 225702099 293153301 376911387 404830749 677106297 879459903 944605081 1214492247 2638379709 2833815243 3643476741 8501445729 10930430223 25504337187 76513011561