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5410013664 = 253115123119
BaseRepresentation
bin1010000100111011…
…00100000111100000
3111222000220011120110
411002131210013200
542034430414124
62252455211320
7251031233406
oct50235440740
914860804513
105410013664
1123268a2380
12106b976b40
13682a98023
14394711476
15219e47029
hex1427641e0

5410013664 has 48 divisors (see below), whose sum is σ = 15492314880. Its totient is φ = 1639397760.

The previous prime is 5410013647. The next prime is 5410013669. The reversal of 5410013664 is 4663100145.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410013669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2560504 + ... + 2562615.

It is an arithmetic number, because the mean of its divisors is an integer number (322756560).

Almost surely, 25410013664 is an apocalyptic number.

It is an amenable number.

5410013664 is an abundant number, since it is smaller than the sum of its proper divisors (10082301216).

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

5410013664 is a wasteful number, since it uses less digits than its factorization.

5410013664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123143 (or 5123135 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5410013664 is about 73552.7950794530. The cubic root of 5410013664 is about 1755.4944225919.

The spelling of 5410013664 in words is "five billion, four hundred ten million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5123119 10246238 15369357 20492476 30738714 40984952 56354309 61477428 81969904 112708618 122954856 163939808 169062927 225417236 245909712 338125854 450834472 491819424 676251708 901668944 1352503416 1803337888 2705006832 5410013664