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420520626025024 = 2671138306744351
BaseRepresentation
bin101111110011101100001011…
…0100010001111001001000000
32001010221101020110102222011211
41133213120112202033021000
5420104302220230300044
64050212301511415504
7154401420063111430
oct13747302642171100
92033841213388154
10420520626025024
11111a99883493aa8
123b1b786a984594
1315084c03c65695
1475bb4421b02c0
153393a8e7c2634
hex17e761688f240

420520626025024 has 56 divisors (see below), whose sum is σ = 962120357826048. Its totient is φ = 178628230502400.

The previous prime is 420520626024997. The next prime is 420520626025033.

420520626025024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4153321552 + ... + 4153422799.

Almost surely, 2420520626025024 is an apocalyptic number.

It is an amenable number.

420520626025024 is an abundant number, since it is smaller than the sum of its proper divisors (541599731801024).

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

420520626025024 is a wasteful number, since it uses less digits than its factorization.

420520626025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306744483 (or 8306744473 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 420520626025024 in words is "four hundred twenty trillion, five hundred twenty billion, six hundred twenty-six million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 50624 8306744351 16613488702 33226977404 58147210457 66453954808 116294420914 132907909616 232588841828 265815819232 465177683656 531631638464 930355367312 938662111663 1860710734624 1877324223326 3721421469248 3754648446652 6570634781641 7509296893304 13141269563282 15018593786608 26282539126564 30037187573216 52565078253128 60074375146432 105130156506256 210260313012512 420520626025024