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12379469760 = 2637572192
BaseRepresentation
bin10111000011101111…
…11011011111000000
31011221202011020000000
423201313323133000
5200323121013020
65404223000000
7615526520400
oct134167733700
934852136000
1012379469760
115282984949
122495a39000
131223968548
1485619a800
154c6c2b090
hex2e1dfb7c0

12379469760 has 1008 divisors, whose sum is σ = 54278601120. Its totient is φ = 2680667136.

The previous prime is 12379469749. The next prime is 12379469789. The reversal of 12379469760 is 6796497321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12379469697 and 12379469706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 651551031 + ... + 651551049.

Almost surely, 212379469760 is an apocalyptic number.

12379469760 is a gapful number since it is divisible by the number (10) 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 12379469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27139300560).

12379469760 is an abundant number, since it is smaller than the sum of its proper divisors (41899131360).

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

12379469760 is an frugal number, since it uses more digits than its factorization.

12379469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 12379469760 in words is "twelve billion, three hundred seventy-nine million, four hundred sixty-nine thousand, seven hundred sixty".