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12166698240 = 283252347977
BaseRepresentation
bin10110101010011000…
…10001010100000000
31011101220210022100100
423111030101110000
5144404133320430
65331142322400
7610334141304
oct132514212400
934356708310
1012166698240
115183869514
122436729400
1311bb85c038
14835c11d04
154b31ec960
hex2d5311500

12166698240 has 432 divisors, whose sum is σ = 44906254848. Its totient is φ = 3034251264.

The previous prime is 12166698233. The next prime is 12166698283. The reversal of 12166698240 is 4289666121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12452632 + ... + 12453608.

It is an arithmetic number, because the mean of its divisors is an integer number (103949664).

Almost surely, 212166698240 is an apocalyptic number.

12166698240 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 12166698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453127424).

12166698240 is an abundant number, since it is smaller than the sum of its proper divisors (32739556608).

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

12166698240 is a wasteful number, since it uses less digits than its factorization.

12166698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12166698240 in words is "twelve billion, one hundred sixty-six million, six hundred ninety-eight thousand, two hundred forty".