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426261981222 = 233711187754617
BaseRepresentation
bin1100011001111110011…
…00011010100000100110
31111202020221010020121000
412030333030122200212
523440441031344342
6523453321334130
742540112025640
oct6147714324046
91452227106530
10426261981222
1115485a859610
126a742337346
133127245a9bc
14168b9db1890
15b14c29b44c
hex633f31a826

426261981222 has 128 divisors (see below), whose sum is σ = 1181636398080. Its totient is φ = 110656385280.

The previous prime is 426261981217. The next prime is 426261981269. The reversal of 426261981222 is 222189162624.

426261981222 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 619 + 8 + 1 + 2 + 22 = 666.

It is a super-2 number, since 2×4262619812222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7777258 + ... + 7831874.

It is an arithmetic number, because the mean of its divisors is an integer number (9231534360).

Almost surely, 2426261981222 is an apocalyptic number.

426261981222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 426261981222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590818199040).

426261981222 is an abundant number, since it is smaller than the sum of its proper divisors (755374416858).

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

426261981222 is a wasteful number, since it uses less digits than its factorization.

426261981222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56523 (or 56517 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 426261981222 in words is "four hundred twenty-six billion, two hundred sixty-one million, nine hundred eighty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 1877 2079 3754 4158 5631 11262 13139 16893 20647 26278 33786 39417 41294 50679 54617 61941 78834 101358 109234 118251 123882 144529 163851 185823 236502 289058 327702 354753 371646 382319 433587 491553 557469 600787 709506 764638 867174 983106 1114938 1146957 1201574 1300761 1474659 1802361 2293914 2601522 2949318 3440871 3604722 3902283 4205509 5407083 6881742 7804566 8411018 10322613 10814166 12616527 16221249 20645226 25233054 32442498 37849581 75699162 102516109 113548743 205032218 227097486 307548327 615096654 717612763 922644981 1127677199 1435225526 1845289962 2152838289 2255354398 2767934943 3383031597 4305676578 5535869886 6458514867 6766063194 7893740393 10149094791 12917029734 15787480786 19375544601 20298189582 23681221179 30447284373 38751089202 47362442358 60894568746 71043663537 142087327074 213130990611 426261981222