Search a number
-
+
426324423624 = 233112172507979
BaseRepresentation
bin1100011010000101110…
…10100111001111001000
31111202102021121122110120
412031002322213033020
523441103023023444
6523503431543240
742541500544521
oct6150272471710
91452367548416
10426324423624
11154892028500
126a75b22ab20
1331282381578
14168c43c7848
15b1529d2b19
hex6342ea73c8

426324423624 has 144 divisors (see below), whose sum is σ = 1244479882800. Its totient is φ = 121589614080.

The previous prime is 426324423601. The next prime is 426324423649.

426324423624 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 585267 + ... + 1093245.

Almost surely, 2426324423624 is an apocalyptic number.

426324423624 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 426324423624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622239941400).

426324423624 is an abundant number, since it is smaller than the sum of its proper divisors (818155459176).

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

426324423624 is a wasteful number, since it uses less digits than its factorization.

426324423624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508044 (or 508012 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 426324 and 423624, that added together give a palindrome (849948).

The spelling of 426324423624 in words is "four hundred twenty-six billion, three hundred twenty-four million, four hundred twenty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 289 363 374 408 484 561 578 726 748 867 968 1122 1156 1452 1496 1734 2057 2244 2312 2904 3179 3468 4114 4488 6171 6358 6936 8228 9537 12342 12716 16456 19074 24684 25432 34969 38148 49368 69938 76296 104907 139876 209814 279752 419628 507979 839256 1015958 1523937 2031916 3047874 4063832 5587769 6095748 8635643 11175538 12191496 16763307 17271286 22351076 25906929 33526614 34542572 44702152 51813858 61465459 67053228 69085144 94992073 103627716 122930918 134106456 146805931 184396377 189984146 207255432 245861836 284976219 293611862 368792754 379968292 440417793 491723672 569952438 587223724 737585508 759936584 880835586 1044912803 1139904876 1174447448 1475171016 1614865241 1761671172 2089825606 2279809752 3134738409 3229730482 3523342344 4179651212 4844595723 6269476818 6459460964 8359302424 9689191446 12538953636 12918921928 17763517651 19378382892 25077907272 35527035302 38756765784 53290552953 71054070604 106581105906 142108141208 213162211812 426324423624