Search a number
-
+
1157081913 = 3213312631213
BaseRepresentation
bin100010011110111…
…1010101100111001
32222122020211222200
41010331322230321
54332203110123
6310452140413
740450014441
oct10475725471
92878224880
101157081913
11544162849
12283607709
13155948670
14ad95b121
156b8ae143
hex44f7ab39

1157081913 has 48 divisors (see below), whose sum is σ = 1866568704. Its totient is φ = 685895040.

The previous prime is 1157081909. The next prime is 1157081923. The reversal of 1157081913 is 3191807511.

1157081913 is a `hidden beast` number, since 1 + 1 + 570 + 81 + 9 + 1 + 3 = 666.

It is not a de Polignac number, because 1157081913 - 22 = 1157081909 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1157081903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953295 + ... + 954507.

It is an arithmetic number, because the mean of its divisors is an integer number (38886848).

Almost surely, 21157081913 is an apocalyptic number.

1157081913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1157081913 is a deficient number, since it is larger than the sum of its proper divisors (709486791).

1157081913 is a wasteful number, since it uses less digits than its factorization.

1157081913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The square root of 1157081913 is about 34015.9067643360. The cubic root of 1157081913 is about 1049.8357756765.

The spelling of 1157081913 in words is "one billion, one hundred fifty-seven million, eighty-one thousand, nine hundred thirteen".

Divisors: 1 3 9 13 31 39 93 117 263 279 403 789 1209 1213 2367 3419 3627 3639 8153 10257 10917 15769 24459 30771 37603 47307 73377 105989 112809 141921 317967 319019 338427 488839 953901 957057 1466517 2871171 4147247 4399551 9889589 12441741 29668767 37325223 89006301 128564657 385693971 1157081913