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10006477537 = 76782725799
BaseRepresentation
bin10010101000110111…
…01011101011100001
3221211100221201122011
421110123223223201
5130443124240122
64332533312521
7502653440620
oct112433535341
927740851564
1010006477537
114275439751
121b33195741
13c36147934
146acd6b6b7
153d873c377
hex2546ebae1

10006477537 has 16 divisors (see below), whose sum is σ = 11621145600. Its totient is φ = 8438422608.

The previous prime is 10006477529. The next prime is 10006477549. The reversal of 10006477537 is 73577460001.

It is not a de Polignac number, because 10006477537 - 23 = 10006477529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006477537.

It is not an unprimeable number, because it can be changed into a prime (10006477577) 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, 374964 + ... + 400762.

It is an arithmetic number, because the mean of its divisors is an integer number (726321600).

Almost surely, 210006477537 is an apocalyptic number.

It is an amenable number.

10006477537 is a deficient number, since it is larger than the sum of its proper divisors (1614668063).

10006477537 is an equidigital number, since it uses as much as digits as its factorization.

10006477537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26700.

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 10006477537 in words is "ten billion, six million, four hundred seventy-seven thousand, five hundred thirty-seven".

Divisors: 1 7 67 469 827 5789 25799 55409 180593 387863 1728533 12099731 21335773 149350411 1429496791 10006477537