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12345308645679 = 324132713
BaseRepresentation
bin1011001110100101110110…
…1111001000100100101111
31121201012101210012210212200
42303221131233020210233
53104231143003130204
642131205000432543
72412630154041642
oct263513557104457
947635353183780
1012345308645679
113a2a685986219
12147472aa78753
136b72083666b9
14309732373a59
151661e3188539
hexb3a5dbc892f

12345308645679 has 48 divisors (see below), whose sum is σ = 18345604787328. Its totient is φ = 7999840000800.

The previous prime is 12345308645671. The next prime is 12345308645687. The reversal of 12345308645679 is 97654680354321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12345308645679 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 3 + 0 + 8 + 64 + 567 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (12345308645671) and next prime (12345308645687).

It is not a de Polignac number, because 12345308645679 - 23 = 12345308645671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345308645671) 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, 45554644314 + ... + 45554644584.

It is an arithmetic number, because the mean of its divisors is an integer number (382200099736).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12345308645679 = 24690617291358, but 3⋅12345308645679 = 37035925937037 is not.

Almost surely, 212345308645679 is an apocalyptic number.

12345308645679 is a deficient number, since it is larger than the sum of its proper divisors (6000296141649).

12345308645679 is an frugal number, since it uses more digits than its factorization.

12345308645679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 315 counting only the distinct ones).

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

The spelling of 12345308645679 in words is "twelve trillion, three hundred forty-five billion, three hundred eight million, six hundred forty-five thousand, six hundred seventy-nine".

Divisors: 1 3 9 41 123 271 369 813 1681 2439 5043 11111 15129 33333 68921 73441 99999 206763 220323 455551 620289 660969 1366653 3011081 4099959 9033243 18677591 19902511 27099729 56032773 59707533 123454321 168098319 179122599 370362963 816002951 1111088889 2448008853 5061627161 7344026559 15184881483 33456120991 45554644449 100368362973 301105088919 1371700960631 4115102881893 12345308645679