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10164164641 = 63791593379
BaseRepresentation
bin10010111011101010…
…01101100000100001
3222020100200001200021
421131311031200201
5131304011232031
64400325153441
7506606655031
oct113565154041
928210601607
1010164164641
114346451374
121b77b5b881
13c5ca08707
146c5c978c1
153e74d9511
hex25dd4d821

10164164641 has 4 divisors (see below), whose sum is σ = 10165764400. Its totient is φ = 10162564884.

The previous prime is 10164164609. The next prime is 10164164677. The reversal of 10164164641 is 14646146101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 14646146101 = 35414136161.

It is a cyclic number.

It is not a de Polignac number, because 10164164641 - 25 = 10164164609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10164164597 and 10164164606.

It is not an unprimeable number, because it can be changed into a prime (10164164141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 790311 + ... + 803068.

It is an arithmetic number, because the mean of its divisors is an integer number (2541441100).

Almost surely, 210164164641 is an apocalyptic number.

It is an amenable number.

10164164641 is a deficient number, since it is larger than the sum of its proper divisors (1599759).

10164164641 is an equidigital number, since it uses as much as digits as its factorization.

10164164641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599758.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10164164641 in words is "ten billion, one hundred sixty-four million, one hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 6379 1593379 10164164641