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9057493152 = 253231449629
BaseRepresentation
bin10000110111101111…
…00110000010100000
3212101020021022210100
420123313212002200
5122022204240102
64054433302400
7440311264401
oct103367460240
925336238710
109057493152
11392879a734
121909404a00
13b14660206
1461ccdd9a8
15380286a1c
hex21bde60a0

9057493152 has 36 divisors (see below), whose sum is σ = 25757246970. Its totient is φ = 3019164288.

The previous prime is 9057493129. The next prime is 9057493153. The reversal of 9057493152 is 2513947509.

It is a happy number.

9057493152 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 493 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6830030736 + 2227462416 = 82644^2 + 47196^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9057493098 and 9057493107.

It is not an unprimeable number, because it can be changed into a prime (9057493153) 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, 15724527 + ... + 15725102.

Almost surely, 29057493152 is an apocalyptic number.

It is an amenable number.

9057493152 is an abundant number, since it is smaller than the sum of its proper divisors (16699753818).

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

9057493152 is a wasteful number, since it uses less digits than its factorization.

9057493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31449645 (or 31449634 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9057493152 is about 95170.8629360898. The cubic root of 9057493152 is about 2084.5037053495.

The spelling of 9057493152 in words is "nine billion, fifty-seven million, four hundred ninety-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 31449629 62899258 94348887 125798516 188697774 251597032 283046661 377395548 503194064 566093322 754791096 1006388128 1132186644 1509582192 2264373288 3019164384 4528746576 9057493152