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12373288704 = 28337317307
BaseRepresentation
bin10111000011000000…
…10110011100000000
31011221022112012012000
423201200112130000
5200320030214304
65403442304000
7615423135000
oct134140263400
934838465160
1012373288704
11527a442a37
122493958000
1312225b300a
1485542c000
154c6409939
hex2e1816700

12373288704 has 576 divisors, whose sum is σ = 45327744000. Its totient is φ = 3316432896.

The previous prime is 12373288693. The next prime is 12373288723. The reversal of 12373288704 is 40788237321.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 12373288704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40303719 + ... + 40304025.

It is an arithmetic number, because the mean of its divisors is an integer number (78694000).

Almost surely, 212373288704 is an apocalyptic number.

12373288704 is a gapful number since it is divisible by the number (14) 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 12373288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663872000).

12373288704 is an abundant number, since it is smaller than the sum of its proper divisors (32954455296).

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

12373288704 is an equidigital number, since it uses as much as digits as its factorization.

12373288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 12373288704 in words is "twelve billion, three hundred seventy-three million, two hundred eighty-eight thousand, seven hundred four".