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426621250433466 = 232111929127143321487
BaseRepresentation
bin110000100000000101000000…
…0000101011111000110111010
32001221112121000110120002200100
41201000022000011133012322
5421404230310102332331
64111203032525020230
7155601240202020114
oct14100120005370672
92057477013502610
10426621250433466
11113a31068970890
123ba220816b4676
131540829929865a
14774c815d1c3b4
15344c5e76d4ae6
hex184028015f1ba

426621250433466 has 384 divisors, whose sum is σ = 1107521637580800. Its totient is φ = 117233281428480.

The previous prime is 426621250433449. The next prime is 426621250433471. The reversal of 426621250433466 is 664334052126624.

426621250433466 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 2 + 1 + 250 + 43 + 346 + 6 = 666.

It is a super-2 number, since 2×4266212504334662 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19854843375 + ... + 19854864861.

It is an arithmetic number, because the mean of its divisors is an integer number (2884170931200).

Almost surely, 2426621250433466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426621250433466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553760818790400).

426621250433466 is an abundant number, since it is smaller than the sum of its proper divisors (680900387147334).

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

426621250433466 is a wasteful number, since it uses less digits than its factorization.

426621250433466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23114 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 426621250433466 in words is "four hundred twenty-six trillion, six hundred twenty-one billion, two hundred fifty million, four hundred thirty-three thousand, four hundred sixty-six".