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12690180360 = 233351113127647
BaseRepresentation
bin10111101000110010…
…01100100100001000
31012202101210221211000
423310121030210020
5201442141232420
65455122335000
7626321516244
oct136431144410
935671727730
1012690180360
115422304370
122561aba460
131273146480
1488555b424
154e4153690
hex2f464c908

12690180360 has 512 divisors, whose sum is σ = 50164531200. Its totient is φ = 2813045760.

The previous prime is 12690180329. The next prime is 12690180401. The reversal of 12690180360 is 6308109621.

It is a super-2 number, since 2×126901803602 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19613557 + ... + 19614203.

It is an arithmetic number, because the mean of its divisors is an integer number (97977600).

Almost surely, 212690180360 is an apocalyptic number.

12690180360 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 12690180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082265600).

12690180360 is an abundant number, since it is smaller than the sum of its proper divisors (37474350840).

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

12690180360 is a wasteful number, since it uses less digits than its factorization.

12690180360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 12690180360 its reverse (6308109621), we get a palindrome (18998289981).

The spelling of 12690180360 in words is "twelve billion, six hundred ninety million, one hundred eighty thousand, three hundred sixty".