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122426015088 = 243134118012657
BaseRepresentation
bin111001000000100101…
…0001011110101110000
3102201000002010221120010
41302001022023311300
54001212024440323
6132124114214520
711562554646456
oct1620112136560
9381002127503
10122426015088
1147a14326173
121b888284440
13b7109b1260
145cd56189d6
1532b7e69c93
hex1c8128bd70

122426015088 has 160 divisors (see below), whose sum is σ = 349227772992. Its totient is φ = 36716544000.

The previous prime is 122426015069. The next prime is 122426015189. The reversal of 122426015088 is 880510624221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 46075456 + ... + 46078112.

Almost surely, 2122426015088 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 122426015088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613886496).

122426015088 is an abundant number, since it is smaller than the sum of its proper divisors (226801757904).

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

122426015088 is a wasteful number, since it uses less digits than its factorization.

122426015088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 122426015088 in words is "one hundred twenty-two billion, four hundred twenty-six million, fifteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1801 1968 2132 2657 3198 3602 4264 5314 5403 6396 7204 7971 8528 10628 10806 12792 14408 15942 21256 21612 23413 25584 28816 31884 34541 42512 43224 46826 63768 69082 70239 73841 86448 93652 103623 108937 127536 138164 140478 147682 187304 207246 217874 221523 276328 280956 295364 326811 374608 414492 435748 443046 552656 561912 590728 653622 828984 871496 886092 959933 1123824 1181456 1307244 1416181 1657968 1742992 1772184 1919866 2614488 2832362 2879799 3544368 3839732 4248543 4785257 5228976 5664724 5759598 7679464 8497086 9570514 11329448 11519196 14355771 15358928 16994172 19141028 22658896 23038392 28711542 33988344 38282056 46076784 57423084 62208341 67976688 76564112 114846168 124416682 186625023 196195537 229692336 248833364 373250046 392391074 497666728 588586611 746500092 784782148 995333456 1177173222 1493000184 1569564296 2354346444 2550541981 2986000368 3139128592 4708692888 5101083962 7651625943 9417385776 10202167924 15303251886 20404335848 30606503772 40808671696 61213007544 122426015088