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12343620713153 = 294110381514477
BaseRepresentation
bin1011001110011111100100…
…1000001011101011000001
31121201001001011001221202012
42303213321020023223001
53104214213400310103
642130325302302305
72412540266616602
oct263477110135301
947631034057665
1012343620713153
113a2999a105564
121474339727995
136b6cc9753a62
1430961210dda9
15166144dba2d8
hexb39f920bac1

12343620713153 has 8 divisors (see below), whose sum is σ = 13080708242280. Its totient is φ = 11627296213120.

The previous prime is 12343620713147. The next prime is 12343620713161. The reversal of 12343620713153 is 35131702634321.

12343620713153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2648440369 + 12340972272784 = 51463^2 + 3512972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12343620713153 - 26 = 12343620713089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12343620713153.

It is not an unprimeable number, because it can be changed into a prime (12343620713183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5190756050 + ... + 5190758427.

It is an arithmetic number, because the mean of its divisors is an integer number (1635088530285).

Almost surely, 212343620713153 is an apocalyptic number.

It is an amenable number.

12343620713153 is a deficient number, since it is larger than the sum of its proper divisors (737087529127).

12343620713153 is a wasteful number, since it uses less digits than its factorization.

12343620713153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381514547.

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 12343620713153 in words is "twelve trillion, three hundred forty-three billion, six hundred twenty million, seven hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 29 41 1189 10381514477 301063919833 425642093557 12343620713153