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2338679045538 = 23211791311141319
BaseRepresentation
bin100010000010000100001…
…000100011110110100010
322021120112120012222100100
4202002010020203312202
5301304103313424123
64550212504203230
7330651434615133
oct42020410436642
98246476188310
102338679045538
11821912396520
12319302a69516
1313c6c8881874
148129a985c8a
1540c7b1e4643
hex22084223da2

2338679045538 has 96 divisors (see below), whose sum is σ = 5640494745600. Its totient is φ = 694377871200.

The previous prime is 2338679045501. The next prime is 2338679045539. The reversal of 2338679045538 is 8355409768332.

It is a happy number.

2338679045538 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 6 + 7 + 90 + 4 + 5 + 538 = 666.

It is not an unprimeable number, because it can be changed into a prime (2338679045539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478443 + ... + 2619761.

It is an arithmetic number, because the mean of its divisors is an integer number (58755153600).

Almost surely, 22338679045538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338679045538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820247372800).

2338679045538 is an abundant number, since it is smaller than the sum of its proper divisors (3301815700062).

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

2338679045538 is a wasteful number, since it uses less digits than its factorization.

2338679045538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141548 (or 1141545 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2338679045538 in words is "two trillion, three hundred thirty-eight billion, six hundred seventy-nine million, forty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 131 158 198 237 262 393 474 711 786 869 1179 1422 1441 1738 2358 2607 2882 4323 5214 7821 8646 10349 12969 15642 20698 25938 31047 62094 93141 113839 186282 227678 341517 683034 1024551 1141319 2049102 2282638 3423957 6847914 10271871 12554509 20543742 25109018 37663527 75327054 90164201 112990581 149512789 180328402 225981162 270492603 299025578 448538367 540985206 811477809 897076734 991806211 1345615101 1622955618 1644640679 1983612422 2691230202 2975418633 3289281358 4933922037 5950837266 8926255899 9867844074 11811510331 14801766111 17852511798 23623020662 29603532222 35434530993 70869061986 106303592979 129926613641 212607185958 259853227282 389779840923 779559681846 1169339522769 2338679045538