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1957000645 = 517194911813
BaseRepresentation
bin111010010100101…
…0111010111000101
312001101102221012101
41310221113113011
513001443010040
6522105152101
766332142145
oct16451272705
95041387171
101957000645
11914748606
1246748b631
132525a0562
14147ca4925
15b6c1c09a
hex74a575c5

1957000645 has 16 divisors (see below), whose sum is σ = 2488028400. Its totient is φ = 1472625664.

The previous prime is 1957000637. The next prime is 1957000651. The reversal of 1957000645 is 5460007591.

It is a Cunningham number, because it is equal to 442382+1.

It can be written as a sum of positive squares in 8 ways, for example, as 67272804 + 1889727841 = 8202^2 + 43471^2 .

It is a cyclic number.

It is not a de Polignac number, because 1957000645 - 23 = 1957000637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159759 + ... + 171571.

It is an arithmetic number, because the mean of its divisors is an integer number (155501775).

Almost surely, 21957000645 is an apocalyptic number.

It is an amenable number.

1957000645 is a deficient number, since it is larger than the sum of its proper divisors (531027755).

1957000645 is a wasteful number, since it uses less digits than its factorization.

1957000645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 1957000645 is about 44238.0000113025. Note that the first 4 decimals coincide. The cubic root of 1957000645 is about 1250.8262579845.

The spelling of 1957000645 in words is "one billion, nine hundred fifty-seven million, six hundred forty-five", and thus it is an aban number.

Divisors: 1 5 17 85 1949 9745 11813 33133 59065 165665 200821 1004105 23023537 115117685 391400129 1957000645