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76800426525 = 3252341335229
BaseRepresentation
bin100011110000110101…
…0011000001000011101
321100020100112220022200
41013201222120020131
52224241402122100
655140455402113
75356120566024
oct1074152301035
9240210486280
1076800426525
112a630925189
1212a74383339
13731c2b5484
143a07c618bb
151ee7656e00
hex11e1a9821d

76800426525 has 18 divisors (see below), whose sum is σ = 137558097690. Its totient is φ = 40960227360.

The previous prime is 76800426491. The next prime is 76800426551. The reversal of 76800426525 is 52562400867.

76800426525 is a `hidden beast` number, since 7 + 6 + 80 + 0 + 42 + 6 + 525 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27257679801 + 49542746724 = 165099^2 + 222582^2 .

It is not a de Polignac number, because 76800426525 - 230 = 75726684701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 170667390 + ... + 170667839.

Almost surely, 276800426525 is an apocalyptic number.

76800426525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76800426525 is a deficient number, since it is larger than the sum of its proper divisors (60757671165).

76800426525 is a wasteful number, since it uses less digits than its factorization.

76800426525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341335245 (or 341335237 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 76800426525 in words is "seventy-six billion, eight hundred million, four hundred twenty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 341335229 1024005687 1706676145 3072017061 5120028435 8533380725 15360085305 25600142175 76800426525