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1313173152 = 25324559629
BaseRepresentation
bin100111001000101…
…0110111010100000
310101111222002220200
41032101112322200
510142133020102
6334145505200
744353534104
oct11621267240
93344862820
101313173152
11614285475
12307942200
1317c09ac45
14c658d904
157a44351c
hex4e456ea0

1313173152 has 36 divisors (see below), whose sum is σ = 3734336970. Its totient is φ = 437724288.

The previous prime is 1313173073. The next prime is 1313173153. The reversal of 1313173152 is 2513713131.

It is a happy number.

1313173152 is a `hidden beast` number, since 1 + 31 + 317 + 315 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1264229136 + 48944016 = 35556^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1313173153) 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, 2279527 + ... + 2280102.

Almost surely, 21313173152 is an apocalyptic number.

1313173152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313173152 is an abundant number, since it is smaller than the sum of its proper divisors (2421163818).

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

1313173152 is a wasteful number, since it uses less digits than its factorization.

1313173152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559645 (or 4559634 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 1313173152 is about 36237.7310547998. The cubic root of 1313173152 is about 1095.0669327948.

Adding to 1313173152 its reverse (2513713131), we get a palindrome (3826886283).

The spelling of 1313173152 in words is "one billion, three hundred thirteen million, one hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4559629 9119258 13678887 18238516 27357774 36477032 41036661 54715548 72954064 82073322 109431096 145908128 164146644 218862192 328293288 437724384 656586576 1313173152