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5718006432 = 25342206021
BaseRepresentation
bin1010101001101000…
…11101101010100000
3112202111102211020000
411110310131222200
543202302201212
62343220420000
7261461152455
oct52464355240
915674384200
105718006432
112474735956
121136b47600
13701833b78
143c35a582c
15236ed41dc
hex154d1daa0

5718006432 has 60 divisors (see below), whose sum is σ = 16816505706. Its totient is φ = 1906001280.

The previous prime is 5718006431. The next prime is 5718006461. The reversal of 5718006432 is 2346008175.

5718006432 is a `hidden beast` number, since 5 + 7 + 1 + 8 + 0 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5709918096 + 8088336 = 75564^2 + 2844^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5718006431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1100419 + ... + 1105602.

Almost surely, 25718006432 is an apocalyptic number.

It is an amenable number.

5718006432 is an abundant number, since it is smaller than the sum of its proper divisors (11098499274).

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

5718006432 is a wasteful number, since it uses less digits than its factorization.

5718006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206043 (or 2206026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5718006432 is about 75617.5008314874. The cubic root of 5718006432 is about 1788.1950149888.

The spelling of 5718006432 in words is "five billion, seven hundred eighteen million, six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2206021 4412042 6618063 8824084 13236126 17648168 19854189 26472252 35296336 39708378 52944504 59562567 70592672 79416756 105889008 119125134 158833512 178687701 211778016 238250268 317667024 357375402 476500536 635334048 714750804 953001072 1429501608 1906002144 2859003216 5718006432