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2072357613 = 321789152189
BaseRepresentation
bin111101110000101…
…1010101011101101
312100102111200012200
41323201122223231
513221010420423
6541345452113
7102232514634
oct17341325355
95312450180
102072357613
11973878a47
1249a041039
13270460011
1415933251b
15c1e06d43
hex7b85aaed

2072357613 has 24 divisors (see below), whose sum is σ = 3205121400. Its totient is φ = 1285684224.

The previous prime is 2072357597. The next prime is 2072357627. The reversal of 2072357613 is 3167532702.

2072357613 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 35 + 7 + 613 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255296484 + 1817061129 = 15978^2 + 42627^2 .

It is not a de Polignac number, because 2072357613 - 24 = 2072357597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072350613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62478 + ... + 89711.

It is an arithmetic number, because the mean of its divisors is an integer number (133546725).

Almost surely, 22072357613 is an apocalyptic number.

It is an amenable number.

2072357613 is a deficient number, since it is larger than the sum of its proper divisors (1132763787).

2072357613 is a wasteful number, since it uses less digits than its factorization.

2072357613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152301 (or 152298 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2072357613 is about 45523.1546907725. The cubic root of 2072357613 is about 1274.9355575272.

The spelling of 2072357613 in words is "two billion, seventy-two million, three hundred fifty-seven thousand, six hundred thirteen".

Divisors: 1 3 9 17 51 89 153 267 801 1513 4539 13617 152189 456567 1369701 2587213 7761639 13544821 23284917 40634463 121903389 230261957 690785871 2072357613