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1239641676416 = 2711132329101537
BaseRepresentation
bin10010000010100000011…
…001101101101010000000
311101111201202111220221002
4102002200121231222000
5130302241232121131
62345252235151132
7155363322251453
oct22024031555200
94344652456832
101239641676416
11438802455340
121803015a54a8
138cb8935b580
1443ddb29d49a
15223a4ee26cb
hex120a066da80

1239641676416 has 256 divisors, whose sum is σ = 3131919302400. Its totient is φ = 480354631680.

The previous prime is 1239641676397. The next prime is 1239641676431. The reversal of 1239641676416 is 6146761469321.

It is a super-2 number, since 2×12396416764162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12158000 + ... + 12259536.

It is an arithmetic number, because the mean of its divisors is an integer number (12234059775).

Almost surely, 21239641676416 is an apocalyptic number.

1239641676416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1239641676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565959651200).

1239641676416 is an abundant number, since it is smaller than the sum of its proper divisors (1892277625984).

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

1239641676416 is a wasteful number, since it uses less digits than its factorization.

1239641676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101627 (or 101615 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The spelling of 1239641676416 in words is "one trillion, two hundred thirty-nine billion, six hundred forty-one million, six hundred seventy-six thousand, four hundred sixteen".