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426325523624 = 2371113109488417
BaseRepresentation
bin1100011010000101111…
…10110011110010101000
31111202102100200112101022
412031002332303302220
523441103313223444
6523503511312012
742541513105520
oct6150276636250
91452370615338
10426325523624
111548927099a0
126a75b67b608
1331282678160
14168c45d2680
15b152b4d9ee
hex6342fb3ca8

426325523624 has 128 divisors (see below), whose sum is σ = 1083115756800. Its totient is φ = 151916912640.

The previous prime is 426325523597. The next prime is 426325523651.

It is a happy number.

426325523624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (426325523597) and next prime (426325523651).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 628664 + ... + 1117080.

It is an arithmetic number, because the mean of its divisors is an integer number (8461841850).

Almost surely, 2426325523624 is an apocalyptic number.

426325523624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426325523624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541557878400).

426325523624 is an abundant number, since it is smaller than the sum of its proper divisors (656790233176).

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

426325523624 is a wasteful number, since it uses less digits than its factorization.

426325523624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488563 (or 488559 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 426325 and 523624, that added together give a palindrome (949949).

The spelling of 426325523624 in words is "four hundred twenty-six billion, three hundred twenty-five million, five hundred twenty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 109 143 154 182 218 286 308 364 436 572 616 728 763 872 1001 1144 1199 1417 1526 2002 2398 2834 3052 4004 4796 5668 6104 8008 8393 9592 9919 11336 15587 16786 19838 31174 33572 39676 62348 67144 79352 109109 124696 218218 436436 488417 872872 976834 1953668 3418919 3907336 5372587 6349421 6837838 10745174 12698842 13675676 21490348 25397684 27351352 37608109 42980696 44445947 50795368 53237453 69843631 75216218 88891894 106474906 139687262 150432436 177783788 212949812 279374524 300864872 355567576 372662171 425899624 488905417 558749048 585611983 692086889 745324342 977810834 1171223966 1384173778 1490648684 1955621668 2342447932 2768347556 2981297368 3911243336 4099283881 4684895864 4844608223 5536695112 7612955779 8198567762 9689216446 15225911558 16397135524 19378432892 30451823116 32794271048 38756865784 53290690453 60903646232 106581380906 213162761812 426325523624