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221057600675802 = 231171101768760761
BaseRepresentation
bin110010010000110011111011…
…110000110101111111011010
31001222200220022021100111102020
4302100303323300311333122
5212433301431233111202
62102052243152315310
764363612263633042
oct6220637360657732
91058626267314366
10221057600675802
1164488002692580
122096253b242b36
139646847188467
143c83360256722
151a8533744d5bc
hexc90cfbc35fda

221057600675802 has 128 divisors (see below), whose sum is σ = 494015522697216. Its totient is φ = 65380190400000.

The previous prime is 221057600675699. The next prime is 221057600675831. The reversal of 221057600675802 is 208576006750122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3638119102 + ... + 3638179862.

It is an arithmetic number, because the mean of its divisors is an integer number (3859496271072).

Almost surely, 2221057600675802 is an apocalyptic number.

221057600675802 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221057600675802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247007761348608).

221057600675802 is an abundant number, since it is smaller than the sum of its proper divisors (272957922021414).

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

221057600675802 is a wasteful number, since it uses less digits than its factorization.

221057600675802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68636.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 221057600675802 in words is "two hundred twenty-one trillion, fifty-seven billion, six hundred million, six hundred seventy-five thousand, eight hundred two".

Divisors: 1 2 3 6 11 22 33 66 71 101 142 202 213 303 426 606 781 1111 1562 2222 2343 3333 4686 6666 7171 7687 14342 15374 21513 23061 43026 46122 60761 78881 84557 121522 157762 169114 182283 236643 253671 364566 473286 507342 545777 668371 776387 1091554 1336742 1552774 1637331 2005113 2329161 3274662 4010226 4314031 4658322 6003547 6136861 8540257 8628062 12007094 12273722 12942093 17080514 18010641 18410583 25620771 25884186 36021282 36821166 47454341 51241542 55123477 67505471 94908682 110246954 135010942 142363023 165370431 202516413 284726046 330740862 405032826 435717131 467069807 606358247 871434262 934139614 1212716494 1307151393 1401209421 1819074741 2614302786 2802418842 3638149482 4792888441 5137767877 9585776882 10275535754 14378665323 15413303631 28757330646 30826607262 33161956297 47174050507 66323912594 94348101014 99485868891 141522151521 198971737782 283044303042 364781519267 518914555577 729563038534 1037829111154 1094344557801 1556743666731 2188689115602 3113487333462 3349357585997 6698715171994 10048072757991 20096145515982 36842933445967 73685866891934 110528800337901 221057600675802