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3135907957 = 713107443727
BaseRepresentation
bin1011101011101010…
…0010100001110101
322002112202122000011
42322322202201311
522410243023312
61235101220221
7140465530540
oct27272424165
98075678004
103135907957
11136a158076
12736261671
133ac8bb150
1421a6a3857
1513548cda7
hexbaea2875

3135907957 has 32 divisors (see below), whose sum is σ = 3909814272. Its totient is φ = 2449047744.

The previous prime is 3135907933. The next prime is 3135907961. The reversal of 3135907957 is 7597095313.

It is a happy number.

It is not a de Polignac number, because 3135907957 - 27 = 3135907829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3135907957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135907967) 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, 4313128 + ... + 4313854.

It is an arithmetic number, because the mean of its divisors is an integer number (122181696).

Almost surely, 23135907957 is an apocalyptic number.

It is an amenable number.

3135907957 is a deficient number, since it is larger than the sum of its proper divisors (773906315).

3135907957 is a wasteful number, since it uses less digits than its factorization.

3135907957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 893025, while the sum is 49.

The square root of 3135907957 is about 55999.1781814698. The cubic root of 3135907957 is about 1463.7079635683.

The spelling of 3135907957 in words is "three billion, one hundred thirty-five million, nine hundred seven thousand, nine hundred fifty-seven".

Divisors: 1 7 13 91 107 443 727 749 1391 3101 5089 5759 9451 9737 40313 47401 66157 77789 322061 331807 544523 616213 1011257 2254427 4186793 4313491 7078799 29307551 34460527 241223689 447986851 3135907957