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422085666492 = 2232737149303817
BaseRepresentation
bin1100010010001100100…
…01000010011010111100
31111100110212122110210200
412021012101002122330
523403412412311432
6521523052403500
742331450653150
oct6110621023274
91440425573720
10422085666492
1115300739a536
1269977776590
1330a58155959
1416601483060
15aea57e9a7c
hex62464426bc

422085666492 has 144 divisors (see below), whose sum is σ = 1260723172800. Its totient is φ = 116548678656.

The previous prime is 422085666479. The next prime is 422085666521. The reversal of 422085666492 is 294666580224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237368 + ... + 1541184.

Almost surely, 2422085666492 is an apocalyptic number.

422085666492 is a gapful number since it is divisible by the number (42) 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 422085666492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630361586400).

422085666492 is an abundant number, since it is smaller than the sum of its proper divisors (838637506308).

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

422085666492 is a wasteful number, since it uses less digits than its factorization.

422085666492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304020 (or 304015 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 422085666492 in words is "four hundred twenty-two billion, eighty-five million, six hundred sixty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 149 222 252 259 298 333 444 447 518 596 666 777 894 1036 1043 1332 1341 1554 1788 2086 2331 2682 3108 3129 4172 4662 5364 5513 6258 9324 9387 11026 12516 16539 18774 22052 33078 37548 38591 49617 66156 77182 99234 115773 154364 198468 231546 303817 347319 463092 607634 694638 911451 1215268 1389276 1822902 2126719 2734353 3645804 4253438 5468706 6380157 8506876 10937412 11241229 12760314 19140471 22482458 25520628 33723687 38280942 44964916 45268733 67447374 76561884 78688603 90537466 101171061 134894748 135806199 157377206 181074932 202342122 236065809 271612398 314754412 316881131 404684244 407418597 472131618 543224796 633762262 708197427 814837194 944263236 950643393 1267524524 1416394854 1629674388 1674943121 1901286786 2832789708 2851930179 3349886242 3802573572 5024829363 5703860358 6699772484 10049658726 11407720716 11724601847 15074488089 20099317452 23449203694 30148976178 35173805541 46898407388 60297952356 70347611082 105521416623 140695222164 211042833246 422085666492