Search a number
-
+
13057271556735 = 357177314998071
BaseRepresentation
bin1011111000000010001000…
…0010000110101001111111
31201020021002201001001111110
42332000202002012221333
53202412243004303420
643434232220453103
72515233234660120
oct276004202065177
951207081031443
1013057271556735
114184615433a6a
12156a7059aa193
137393ac080623
14331d923a0047
151799b25d6ee0
hexbe022086a7f

13057271556735 has 32 divisors (see below), whose sum is σ = 25280633336832. Its totient is φ = 5617918517760.

The previous prime is 13057271556713. The next prime is 13057271556757. The reversal of 13057271556735 is 53765517275031.

It is an interprime number because it is at equal distance from previous prime (13057271556713) and next prime (13057271556757).

It is not a de Polignac number, because 13057271556735 - 212 = 13057271552639 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657497251 + ... + 3657500820.

It is an arithmetic number, because the mean of its divisors is an integer number (790019791776).

Almost surely, 213057271556735 is an apocalyptic number.

13057271556735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13057271556735 is a deficient number, since it is larger than the sum of its proper divisors (12223361780097).

13057271556735 is a wasteful number, since it uses less digits than its factorization.

13057271556735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314998103.

The product of its (nonzero) digits is 23152500, while the sum is 57.

The spelling of 13057271556735 in words is "thirteen trillion, fifty-seven billion, two hundred seventy-one million, five hundred fifty-six thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 7314998071 21944994213 36574990355 51204986497 109724971065 124354967207 153614959491 256024932485 373064901621 621774836035 768074797455 870484770449 1865324508105 2611454311347 4352423852245 13057271556735