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426653356624 = 241117314797871
BaseRepresentation
bin1100011010101101000…
…01011001001001010000
31111210021012120011201021
412031112201121021100
523442241224402444
6524000222045224
742552603460045
oct6152641311120
91453235504637
10426653356624
11154a40773760
126a831419814
133130556c791
1416915d6d1cc
15b171809584
hex6356859250

426653356624 has 160 divisors (see below), whose sum is σ = 1006619000832. Its totient is φ = 172877568000.

The previous prime is 426653356603. The next prime is 426653356663.

426653356624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4266533566242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 4310409 + ... + 4408279.

Almost surely, 2426653356624 is an apocalyptic number.

426653356624 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 426653356624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503309500416).

426653356624 is an abundant number, since it is smaller than the sum of its proper divisors (579965644208).

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

426653356624 is a wasteful number, since it uses less digits than its factorization.

426653356624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97985 (or 97979 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 426653356624 in words is "four hundred twenty-six billion, six hundred fifty-three million, three hundred fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 47 62 68 88 94 124 136 176 187 188 248 272 341 374 376 496 517 527 682 748 752 799 1034 1054 1364 1457 1496 1598 2068 2108 2728 2914 2992 3196 4136 4216 5456 5797 5828 6392 8272 8432 8789 11594 11656 12784 16027 17578 23188 23312 24769 32054 35156 46376 49538 64108 70312 92752 97871 99076 128216 140624 195742 198152 256432 272459 391484 396304 544918 782968 1076581 1089836 1565936 1663807 2153162 2179672 3034001 3327614 4306324 4359344 4599937 6068002 6655228 8612648 9199874 12136004 13310456 17225296 18301877 18399748 24272008 26620912 33374011 36603754 36799496 48544016 50599307 51578017 66748022 73207508 73598992 78198929 101198614 103156034 133496044 142598047 146415016 156397858 202397228 206312068 266992088 285196094 292830032 312795716 404794456 412624136 533984176 567358187 570392188 625591432 809588912 825248272 860188219 1134716374 1140784376 1251182864 1568578517 1720376438 2269432748 2281568752 2424166799 3137157034 3440752876 4538865496 4848333598 6274314068 6881505752 9077730992 9696667196 12548628136 13763011504 19393334392 25097256272 26665834789 38786668784 53331669578 106663339156 213326678312 426653356624