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1157379561 = 321311387541
BaseRepresentation
bin100010011111100…
…0011010111101001
32222122210222021200
41010333003113221
54332242121221
6310502354413
740452364302
oct10477032751
92878728250
101157379561
11544346438
1228372ba09
13155a20ca0
14ad9d77a9
156b91c426
hex44fc35e9

1157379561 has 24 divisors (see below), whose sum is σ = 1816321416. Its totient is φ = 705922560.

The previous prime is 1157379541. The next prime is 1157379581. The reversal of 1157379561 is 1659737511.

1157379561 is a `hidden beast` number, since 1 + 1 + 57 + 37 + 9 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (1157379541) and next prime (1157379581).

It can be written as a sum of positive squares in 4 ways, for example, as 28419561 + 1128960000 = 5331^2 + 33600^2 .

It is not a de Polignac number, because 1157379561 - 29 = 1157379049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1157379541) 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 23 ways as a sum of consecutive naturals, for example, 30550 + ... + 56991.

It is an arithmetic number, because the mean of its divisors is an integer number (75680059).

Almost surely, 21157379561 is an apocalyptic number.

It is an amenable number.

1157379561 is a deficient number, since it is larger than the sum of its proper divisors (658941855).

1157379561 is a wasteful number, since it uses less digits than its factorization.

1157379561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87673 (or 87670 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 1157379561 is about 34020.2816125910. The cubic root of 1157379561 is about 1049.9257879522.

The spelling of 1157379561 in words is "one billion, one hundred fifty-seven million, three hundred seventy-nine thousand, five hundred sixty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 87541 262623 787869 1138033 3414099 9892133 10242297 29676399 89029197 128597729 385793187 1157379561