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12740149500 = 22353132291733
BaseRepresentation
bin10111101110101111…
…10100000011111100
31012212212211122120220
423313113310003330
5202042434241000
65504105341340
7630466325001
oct136727640374
935785748526
1012740149500
115448533981
122576797850
1312805c0800
1488c0478a8
154e87241a0
hex2f75f40fc

12740149500 has 288 divisors, whose sum is σ = 41581874880. Its totient is φ = 3026150400.

The previous prime is 12740149447. The next prime is 12740149507. The reversal of 12740149500 is 594104721.

It is a happy number.

It is a super-2 number, since 2×127401495002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740149507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7350634 + ... + 7352366.

It is an arithmetic number, because the mean of its divisors is an integer number (144381510).

Almost surely, 212740149500 is an apocalyptic number.

12740149500 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 12740149500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790937440).

12740149500 is an abundant number, since it is smaller than the sum of its proper divisors (28841725380).

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

12740149500 is a wasteful number, since it uses less digits than its factorization.

12740149500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12740149500 in words is "twelve billion, seven hundred forty million, one hundred forty-nine thousand, five hundred".