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12317745240 = 23325127419643
BaseRepresentation
bin10110111100011000…
…11110000001011000
31011210110000021212200
423132030132001120
5200211320321430
65354140010200
7614150051463
oct133614360130
934713007780
1012317745240
115251056349
122479230960
131213c36668
1484bcd02da
154c15d7460
hex2de31e058

12317745240 has 192 divisors, whose sum is σ = 40507084800. Its totient is φ = 3246034176.

The previous prime is 12317745229. The next prime is 12317745241. The reversal of 12317745240 is 4254771321.

12317745240 is a `hidden beast` number, since 123 + 1 + 7 + 7 + 4 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12317745195 and 12317745204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12317745241) 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, 19156359 + ... + 19157001.

It is an arithmetic number, because the mean of its divisors is an integer number (210974400).

Almost surely, 212317745240 is an apocalyptic number.

12317745240 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 12317745240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253542400).

12317745240 is an abundant number, since it is smaller than the sum of its proper divisors (28189339560).

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

12317745240 is a wasteful number, since it uses less digits than its factorization.

12317745240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12317745240 in words is "twelve billion, three hundred seventeen million, seven hundred forty-five thousand, two hundred forty".