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426440565044624 = 2413173122543172573
BaseRepresentation
bin110000011110110000110111…
…0011001011011010110010000
32001220220022122012010022200202
41200331201232121123112100
5421343300234122411444
64110544031402034332
7155552212511401604
oct14075415631332620
92056808565108622
10426440565044624
11113971478759949
123b9b30564a89a8
13153c423265c3a0
147743b950ad504
153447a6ec4334e
hex183d86e65b590

426440565044624 has 160 divisors (see below), whose sum is σ = 972564815867904. Its totient is φ = 179256638545920.

The previous prime is 426440565044609. The next prime is 426440565044629.

It is a happy number.

426440565044624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4264405650446242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426440565044624.

It is not an unprimeable number, because it can be changed into a prime (426440565044629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470987202 + ... + 2471159774.

Almost surely, 2426440565044624 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 426440565044624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486282407933952).

426440565044624 is an abundant number, since it is smaller than the sum of its proper divisors (546124250823280).

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

426440565044624 is a wasteful number, since it uses less digits than its factorization.

426440565044624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195185 (or 195179 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 56.

The spelling of 426440565044624 in words is "four hundred twenty-six trillion, four hundred forty billion, five hundred sixty-five million, forty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 31 34 52 62 68 104 124 136 208 221 248 272 403 442 496 527 806 884 1054 1612 1768 2108 3224 3536 4216 6448 6851 8432 13702 22543 27404 45086 54808 90172 109616 172573 180344 293059 345146 360688 383231 586118 690292 698833 766462 1172236 1380584 1397666 1532924 2243449 2344472 2761168 2795332 2933741 3065848 4486898 4688944 4982003 5349763 5590664 5867482 6131696 8973796 9084829 9964006 10699526 11181328 11734964 11880161 17947592 18169658 19928012 21399052 23469928 23760322 35895184 36339316 38138633 39856024 42798104 46939856 47520644 69546919 72678632 76277266 79712048 85596208 90945971 95041288 139093838 145357264 152554532 154442093 181891942 190082576 278187676 305109064 308884186 363783884 556375352 610218128 617768372 727567768 1112750704 1182297623 1235536744 1455135536 2364595246 2471073488 3890313139 4729190492 7780626278 9458380984 15561252556 18916761968 31122505112 50574070807 62245010224 66135323363 101148141614 120599707309 132270646726 202296283228 241199414618 264541293452 404592566456 482398829236 529082586904 809185132912 859759203719 964797658472 1058165173808 1567796195017 1719518407438 1929595316944 2050195024253 3135592390034 3439036814876 4100390048506 6271184780068 6878073629752 8200780097012 12542369560136 13756147259504 16401560194024 25084739120272 26652535315289 32803120388048 53305070630578 106610141261156 213220282522312 426440565044624