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10145273741 = 41213744053
BaseRepresentation
bin10010111001011010…
…01001011110001101
3222012001010022020022
421130231021132031
5131234142224431
64354412231525
7506260255361
oct113455113615
928161108208
1010145273741
114336819359
121b7176b5a5
13c58b23075
146c357b2a1
153e5a0707b
hex25cb4978d

10145273741 has 12 divisors (see below), whose sum is σ = 10474895796. Its totient is φ = 9825358080.

The previous prime is 10145273717. The next prime is 10145273779. The reversal of 10145273741 is 14737254101.

It can be written as a sum of positive squares in 6 ways, for example, as 1556618116 + 8588655625 = 39454^2 + 92675^2 .

It is not a de Polignac number, because 10145273741 - 210 = 10145272717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145273791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208271 + ... + 252323.

It is an arithmetic number, because the mean of its divisors is an integer number (872907983).

Almost surely, 210145273741 is an apocalyptic number.

It is an amenable number.

10145273741 is a deficient number, since it is larger than the sum of its proper divisors (329622055).

10145273741 is an equidigital number, since it uses as much as digits as its factorization.

10145273741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44272 (or 44231 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 10145273741 in words is "ten billion, one hundred forty-five million, two hundred seventy-three thousand, seven hundred forty-one".

Divisors: 1 41 137 1681 5617 44053 230297 1806173 6035261 74053093 247445701 10145273741