Search a number
-
+
424638262836424 = 237136772459350381
BaseRepresentation
bin110000010001101001100110…
…0110100000111110011001000
32001200112000120122112212021201
41200203103030310013303020
5421124233130241231144
64103044042550513544
7155305050003401350
oct14043231464076310
92050460518485251
10424638262836424
1111333709209015a
123b7618a70658b4
13152c32a747ac10
1476c085ca59b60
153415c3802e1d4
hex18234ccd07cc8

424638262836424 has 128 divisors (see below), whose sum is σ = 981783818668800. Its totient is φ = 167671932779520.

The previous prime is 424638262836409. The next prime is 424638262836493.

424638262836424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4246382628364242 (a number of 30 digits) contains 22 as substring.

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, 1211757714 + ... + 1212108094.

It is an arithmetic number, because the mean of its divisors is an integer number (7670186083350).

Almost surely, 2424638262836424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424638262836424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490891909334400).

424638262836424 is an abundant number, since it is smaller than the sum of its proper divisors (557145555832376).

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

424638262836424 is a wasteful number, since it uses less digits than its factorization.

424638262836424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353543 (or 353539 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 64.

The spelling of 424638262836424 in words is "four hundred twenty-four trillion, six hundred thirty-eight billion, two hundred sixty-two million, eight hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 677 728 1354 2459 2708 4739 4918 5416 8801 9478 9836 17213 17602 18956 19672 31967 34426 35204 37912 61607 63934 68852 70408 123214 127868 137704 223769 246428 255736 350381 447538 492856 700762 895076 1401524 1664743 1790152 2452667 2803048 3329486 4554953 4905334 6658972 9109906 9810668 11653201 13317944 18219812 19621336 21641659 23306402 31884671 36439624 43283318 46612804 63769342 86566636 93225608 127538684 151491613 173133272 237207937 255077368 302983226 474415874 605966452 861586879 948831748 1211932904 1660455559 1723173758 1897663496 3083703181 3320911118 3446347516 6031108153 6167406362 6641822236 6892695032 11200629427 12062216306 12334812724 13283644472 21585922267 22401258854 24124432612 24669625448 43171844534 44802517708 48248865224 78404405989 86343689068 89605035416 156808811978 172687378136 313617623956 583294317083 627235247912 1166588634166 2333177268332 4083060219581 4666354536664 7582826122079 8166120439162 15165652244158 16332240878324 30331304488316 32664481756648 53079782854553 60662608976632 106159565709106 212319131418212 424638262836424