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1479005164 = 2271331131071
BaseRepresentation
bin101100000100111…
…1101001111101100
310211002000020200001
41120021331033230
511012111131124
6402432114044
751436223260
oct13011751754
93732006601
101479005164
1169995051a
12353395924
131a75510b0
141005da0a0
1589c9db44
hex5827d3ec

1479005164 has 48 divisors (see below), whose sum is σ = 3288334336. Its totient is φ = 566222400.

The previous prime is 1479005161. The next prime is 1479005173. The reversal of 1479005164 is 4615009741.

It is not an unprimeable number, because it can be changed into a prime (1479005161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54252 + ... + 76819.

Almost surely, 21479005164 is an apocalyptic number.

1479005164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1479005164 is an abundant number, since it is smaller than the sum of its proper divisors (1809329172).

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

1479005164 is a wasteful number, since it uses less digits than its factorization.

1479005164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131126 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1479005164 is about 38457.8361845801. The cubic root of 1479005164 is about 1139.3484437261.

The spelling of 1479005164 in words is "one billion, four hundred seventy-nine million, five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 131071 262142 524284 917497 1703923 1834994 3407846 3669988 4063201 6815692 8126402 11927461 16252804 23854922 28442407 47709844 52821613 56884814 105643226 113769628 211286452 369751291 739502582 1479005164