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10007692501 = 411601152461
BaseRepresentation
bin10010101001000000…
…10100010011010101
3221211110020110020211
421110200110103111
5130443432130001
64333015325421
7502666661032
oct112440242325
927743213224
1010007692501
114276099554
121b33680871
13c36481951
146ad1a6389
153d88cc351
hex2548144d5

10007692501 has 8 divisors (see below), whose sum is σ = 10258253208. Its totient is φ = 9757440000.

The previous prime is 10007692463. The next prime is 10007692523. The reversal of 10007692501 is 10529670001.

It can be written as a sum of positive squares in 4 ways, for example, as 5373623025 + 4634069476 = 73305^2 + 68074^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007692501 - 217 = 10007561429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007692531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10590 + ... + 141871.

It is an arithmetic number, because the mean of its divisors is an integer number (1282281651).

Almost surely, 210007692501 is an apocalyptic number.

It is an amenable number.

10007692501 is a deficient number, since it is larger than the sum of its proper divisors (250560707).

10007692501 is a wasteful number, since it uses less digits than its factorization.

10007692501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154103.

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 10007692501 in words is "ten billion, seven million, six hundred ninety-two thousand, five hundred one".

Divisors: 1 41 1601 65641 152461 6250901 244090061 10007692501