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1137014964 = 223231583749
BaseRepresentation
bin100001111000101…
…0111100010110100
32221020111100022100
41003301113202310
54312033434324
6304454102100
740114316301
oct10361274264
92836440270
101137014964
115338a7198
1227894a930
13151740927
14ab0160a8
1569c484c9
hex43c578b4

1137014964 has 18 divisors (see below), whose sum is σ = 2874121250. Its totient is φ = 379004976.

The previous prime is 1137014953. The next prime is 1137014969. The reversal of 1137014964 is 4694107311.

It can be written as a sum of positive squares in only one way, i.e., 966712464 + 170302500 = 31092^2 + 13050^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 31583749 = 1137014964 / (1 + 1 + 3 + 7 + 0 + 1 + 4 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137014969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15791839 + ... + 15791910.

Almost surely, 21137014964 is an apocalyptic number.

It is an amenable number.

1137014964 is an abundant number, since it is smaller than the sum of its proper divisors (1737106286).

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

1137014964 is a wasteful number, since it uses less digits than its factorization.

1137014964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31583759 (or 31583754 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1137014964 is about 33719.6524893125. The cubic root of 1137014964 is about 1043.7313462955.

The spelling of 1137014964 in words is "one billion, one hundred thirty-seven million, fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 31583749 63167498 94751247 126334996 189502494 284253741 379004988 568507482 1137014964