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457043313132 = 22337604554647
BaseRepresentation
bin1101010011010011110…
…01111000000111101100
31121200201010121220212000
412221221321320013230
524442011042010012
6545543544212300
745006650030250
oct6515171700754
91550633556760
10457043313132
1116691604289a
12746b2a6a090
133413966a873
141819a0c6260
15bd4e7b0ddc
hex6a69e781ec

457043313132 has 48 divisors (see below), whose sum is σ = 1354202411520. Its totient is φ = 130583803536.

The previous prime is 457043313127. The next prime is 457043313193. The reversal of 457043313132 is 231313340754.

457043313132 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 4 + 331 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302276568 + ... + 302278079.

It is an arithmetic number, because the mean of its divisors is an integer number (28212550240).

Almost surely, 2457043313132 is an apocalyptic number.

457043313132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

457043313132 is an abundant number, since it is smaller than the sum of its proper divisors (897159098388).

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

457043313132 is a wasteful number, since it uses less digits than its factorization.

457043313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604554667 (or 604554659 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 457043313132 its reverse (231313340754), we get a palindrome (688356653886).

The spelling of 457043313132 in words is "four hundred fifty-seven billion, forty-three million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 604554647 1209109294 1813663941 2418218588 3627327882 4231882529 5440991823 7254655764 8463765058 10881983646 12695647587 16322975469 16927530116 21763967292 25391295174 32645950938 38086942761 50782590348 65291901876 76173885522 114260828283 152347771044 228521656566 457043313132