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8000725131 = 33742331879
BaseRepresentation
bin1110111001110000…
…10110000010001011
3202122120202221121000
413130320112002023
5112341141201011
63401523150043
7402160020150
oct73470260213
922576687530
108000725131
113436223233
121673515323
139a67381a9
1455c816227
1531c5e0356
hex1dce1608b

8000725131 has 16 divisors (see below), whose sum is σ = 13546201600. Its totient is φ = 4571842824.

The previous prime is 8000725123. The next prime is 8000725207. The reversal of 8000725131 is 1315270008.

8000725131 is a `hidden beast` number, since 80 + 0 + 0 + 72 + 513 + 1 = 666.

It is not a de Polignac number, because 8000725131 - 23 = 8000725123 is a prime.

It is a super-2 number, since 2×80007251312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8000725095 and 8000725104.

It is not an unprimeable number, because it can be changed into a prime (8000725331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21165751 + ... + 21166128.

It is an arithmetic number, because the mean of its divisors is an integer number (846637600).

Almost surely, 28000725131 is an apocalyptic number.

8000725131 is a deficient number, since it is larger than the sum of its proper divisors (5545476469).

8000725131 is a wasteful number, since it uses less digits than its factorization.

8000725131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42331895 (or 42331889 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 8000725131 is about 89446.7726136611. The cubic root of 8000725131 is about 2000.0604257577.

Adding to 8000725131 its reverse (1315270008), we get a palindrome (9315995139).

The spelling of 8000725131 in words is "eight billion, seven hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 42331879 126995637 296323153 380986911 888969459 1142960733 2666908377 8000725131