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82460248005268 = 22719129437523793
BaseRepresentation
bin10010101111111101000101…
…110010100101101010010100
3101210222010022110112000121101
4102233331011302211222110
541302012041442132033
6451213414233355444
723240361550120510
oct2257750562455224
9353863273460541
1082460248005268
11243022162a0411
1292b9422268b84
133701c77986583
141651150db7140
1597eea870097d
hex4aff45ca5a94

82460248005268 has 48 divisors (see below), whose sum is σ = 165789902444544. Its totient is φ = 35153818191360.

The previous prime is 82460248005193. The next prime is 82460248005281. The reversal of 82460248005268 is 86250084206428.

82460248005268 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157167180 + ... + 157690972.

It is an arithmetic number, because the mean of its divisors is an integer number (3453956300928).

Almost surely, 282460248005268 is an apocalyptic number.

It is an amenable number.

82460248005268 is an abundant number, since it is smaller than the sum of its proper divisors (83329654439276).

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

82460248005268 is a wasteful number, since it uses less digits than its factorization.

82460248005268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553432 (or 553430 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 55.

The spelling of 82460248005268 in words is "eighty-two trillion, four hundred sixty billion, two hundred forty-eight million, five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 191 382 764 1337 2674 5348 29437 58874 117748 206059 412118 523793 824236 1047586 2095172 3666551 5622467 7333102 11244934 14666204 22489868 39357269 78714538 100044463 157429076 200088926 400177852 700311241 1400622482 2801244964 15418894541 30837789082 61675578164 107932261787 215864523574 431729047148 2945008857331 5890017714662 11780035429324 20615062001317 41230124002634 82460248005268