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479490094974 = 2311291889132619
BaseRepresentation
bin1101111101000111101…
…01100011011101111110
31200211122111012120210110
412332203311203131332
530323443431014344
61004135200450450
746433132363022
oct6764365433576
91624574176713
10479490094974
11175394727270
1278b18319a26
13362a5c307b7
14192c9328382
15c7152443b9
hex6fa3d6377e

479490094974 has 64 divisors (see below), whose sum is σ = 1082815776000. Its totient is φ = 140214359040.

The previous prime is 479490094961. The next prime is 479490095011.

479490094974 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3549237 + ... + 3681855.

It is an arithmetic number, because the mean of its divisors is an integer number (16918996500).

Almost surely, 2479490094974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479490094974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541407888000).

479490094974 is an abundant number, since it is smaller than the sum of its proper divisors (603325681026).

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

479490094974 is a wasteful number, since it uses less digits than its factorization.

479490094974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134553.

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 479490094974 in words is "four hundred seventy-nine billion, four hundred ninety million, ninety-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1889 1914 3778 5667 11334 20779 41558 54781 62337 109562 124674 132619 164343 265238 328686 397857 602591 795714 1205182 1458809 1807773 2917618 3615546 3845951 4376427 7691902 8752854 11537853 23075706 42305461 84610922 126916383 250517291 253832766 501034582 751551873 1503103746 2755690201 5511380402 7265001439 8267070603 14530002878 16534141206 21795004317 43590008634 79915015829 159830031658 239745047487 479490094974