Search a number
-
+
13457720115 = 3257172513113
BaseRepresentation
bin11001000100010010…
…01000001100110011
31021201220002000102100
430202021020030303
5210030134020430
610103221351443
7654331506420
oct144211101463
937656060370
1013457720115
115786594344
122736b68583
1313661725c8
14919476d47
1553b717960
hex322248333

13457720115 has 48 divisors (see below), whose sum is σ = 28227296448. Its totient is φ = 5790210048.

The previous prime is 13457720069. The next prime is 13457720117. The reversal of 13457720115 is 51102775431.

It is not a de Polignac number, because 13457720115 - 26 = 13457720051 is a prime.

It is a super-2 number, since 2×134577201152 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13457720115.

It is not an unprimeable number, because it can be changed into a prime (13457720117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251202 + ... + 1261911.

It is an arithmetic number, because the mean of its divisors is an integer number (588068676).

Almost surely, 213457720115 is an apocalyptic number.

13457720115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13457720115 is an abundant number, since it is smaller than the sum of its proper divisors (14769576333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13457720115 is a wasteful number, since it uses less digits than its factorization.

13457720115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513148 (or 2513145 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 13457720115 in words is "thirteen billion, four hundred fifty-seven million, seven hundred twenty thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 2513113 7539339 12565565 17591791 22618017 37696695 42722921 52775373 87958955 113090085 128168763 158326119 213614605 263876865 299060447 384506289 640843815 791630595 897181341 1495302235 1922531445 2691544023 4485906705 13457720115