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426413444314624 = 291382377842673
BaseRepresentation
bin110000011110100100001110…
…1111000000011011000000000
32001220210201122002200111020021
41200331020131320003120000
5421342324213221031444
64110523344302423224
7155550232443114124
oct14075103570033000
92056721562614207
10426413444314624
11113960a20815aa8
123b9a9947891b14
13153c17cc95a560
147742741201584
153446ed3cb1584
hex183d21de03600

426413444314624 has 80 divisors (see below), whose sum is σ = 918646928271072. Its totient is φ = 196567069851648.

The previous prime is 426413444314499. The next prime is 426413444314661.

426413444314624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4264134443146242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33443449 + ... + 44399224.

Almost surely, 2426413444314624 is an apocalyptic number.

It is an amenable number.

426413444314624 is an abundant number, since it is smaller than the sum of its proper divisors (492233483956448).

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

426413444314624 is an equidigital number, since it uses as much as digits as its factorization.

426413444314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77843527 (or 77843511 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 52.

The spelling of 426413444314624 in words is "four hundred twenty-six trillion, four hundred thirteen billion, four hundred forty-four million, three hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 823 832 1646 1664 3292 3328 6584 6656 10699 13168 21398 26336 42796 52672 85592 105344 171184 210688 342368 421376 684736 1369472 2738944 5477888 77842673 155685346 311370692 622741384 1011954749 1245482768 2023909498 2490965536 4047818996 4981931072 8095637992 9963862144 16191275984 19927724288 32382551968 39855448576 64064519879 64765103936 128129039758 129530207872 256258079516 259060415744 512516159032 518120831488 832838758427 1025032318064 1665677516854 2050064636128 3331355033708 4100129272256 6662710067416 8200258544512 13325420134832 16400517089024 26650840269664 32801034178048 53301680539328 106603361078656 213206722157312 426413444314624