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422361121512 = 2331167109721767
BaseRepresentation
bin1100010010101101010…
…11110100001011101000
31111101012001222001001110
412021112223310023220
523404443421342022
6522010252350320
742341334204051
oct6112653641350
91441161861043
10422361121512
11153138929a10
1269a33a753a0
1330aa023b6a5
1416629ca7728
15aebeaab00c
hex6256af42e8

422361121512 has 128 divisors (see below), whose sum is σ = 1170205885440. Its totient is φ = 125957230080.

The previous prime is 422361121477. The next prime is 422361121537. The reversal of 422361121512 is 215121163224.

It is a super-2 number, since 2×4223611215122 (a number of 24 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 422361121512.

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 31 ways as a sum of consecutive naturals, for example, 19392853 + ... + 19414619.

It is an arithmetic number, because the mean of its divisors is an integer number (9142233480).

Almost surely, 2422361121512 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 422361121512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585102942720).

422361121512 is an abundant number, since it is smaller than the sum of its proper divisors (747844763928).

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

422361121512 is a wasteful number, since it uses less digits than its factorization.

422361121512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22951 (or 22947 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 422361121512 its reverse (215121163224), we get a palindrome (637482284736).

The spelling of 422361121512 in words is "four hundred twenty-two billion, three hundred sixty-one million, one hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1097 1474 1608 2194 2211 2948 3291 4388 4422 5896 6582 8776 8844 12067 13164 17688 21767 24134 26328 36201 43534 48268 65301 72402 73499 87068 96536 130602 144804 146998 174136 220497 239437 261204 289608 293996 440994 478874 522408 587992 718311 808489 881988 957748 1436622 1458389 1616978 1763976 1915496 2425467 2873244 2916778 3233956 4375167 4850934 5746488 5833556 6467912 8750334 9701868 11667112 16042279 17500668 19403736 23878399 32084558 35001336 47756798 48126837 64169116 71635197 95513596 96253674 128338232 143270394 191027192 192507348 262662389 286540788 385014696 525324778 573081576 787987167 1050649556 1575974334 1599852733 2101299112 3151948668 3199705466 4799558199 6303897336 6399410932 9599116398 12798821864 17598380063 19198232796 35196760126 38396465592 52795140189 70393520252 105590280378 140787040504 211180560756 422361121512