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12349968750 = 2345671741
BaseRepresentation
bin10111000000001110…
…11001000101101110
31011212200122102020000
423200013121011232
5200243043000000
65401250405130
7615021000540
oct134007310556
934780572200
1012349968750
115268265349
122487b907a6
13121a809722
148522bb690
154c4350000
hex2e01d916e

12349968750 has 560 divisors, whose sum is σ = 42878826144. Its totient is φ = 2592000000.

The previous prime is 12349968737. The next prime is 12349968779. The reversal of 12349968750 is 5786994321.

12349968750 is a `hidden beast` number, since 1 + 23 + 499 + 6 + 87 + 50 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 301218730 + ... + 301218770.

It is a 1-persistent number, because it is pandigital, but 2⋅12349968750 = 24699937500 is not.

Almost surely, 212349968750 is an apocalyptic number.

12349968750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12349968750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21439413072).

12349968750 is an abundant number, since it is smaller than the sum of its proper divisors (30528857394).

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

12349968750 is an frugal number, since it uses more digits than its factorization.

12349968750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12349968750 in words is "twelve billion, three hundred forty-nine million, nine hundred sixty-eight thousand, seven hundred fifty".