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1957000643 = 133141831427
BaseRepresentation
bin111010010100101…
…0111010111000011
312001101102221012022
41310221113113003
513001443010033
6522105152055
766332142143
oct16451272703
95041387168
101957000643
11914748604
1246748b62b
132525a0560
14147ca4923
15b6c1c098
hex74a575c3

1957000643 has 32 divisors (see below), whose sum is σ = 2257016832. Its totient is φ = 1683820800.

The previous prime is 1957000637. The next prime is 1957000651. The reversal of 1957000643 is 3460007591.

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

It is not a de Polignac number, because 1957000643 - 214 = 1956984259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1957000663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1370696 + ... + 1372122.

It is an arithmetic number, because the mean of its divisors is an integer number (70531776).

Almost surely, 21957000643 is an apocalyptic number.

1957000643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1957000643 is a deficient number, since it is larger than the sum of its proper divisors (300016189).

1957000643 is a wasteful number, since it uses less digits than its factorization.

1957000643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 1957000643 is about 44237.9999886975. Note that the first 4 decimals coincide. The cubic root of 1957000643 is about 1250.8262575584.

The spelling of 1957000643 in words is "one billion, nine hundred fifty-seven million, six hundred forty-three", and thus it is an aban number.

Divisors: 1 13 31 41 83 403 533 1079 1271 1427 2573 3403 16523 18551 33449 44237 44239 58507 105493 118441 575081 760591 1371409 1539733 1813717 3671671 4856081 23578321 47731723 63129053 150538511 1957000643