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12699640560 = 24351729181593
BaseRepresentation
bin10111101001111010…
…10010001011110000
31012210001121120202210
423310331102023300
5202002101444220
65500101212120
7626465110065
oct136475221360
935701546683
1012699640560
115427685a12
122565101040
1312750a9419
14886900c6c
154e4dc16e0
hex2f4f522f0

12699640560 has 320 divisors, whose sum is σ = 43433470080. Its totient is φ = 3055288320.

The previous prime is 12699640559. The next prime is 12699640609. The reversal of 12699640560 is 6504699621.

It is a super-2 number, since 2×126996405602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21415624 + ... + 21416216.

It is an arithmetic number, because the mean of its divisors is an integer number (135729594).

Almost surely, 212699640560 is an apocalyptic number.

12699640560 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 12699640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716735040).

12699640560 is an abundant number, since it is smaller than the sum of its proper divisors (30733829520).

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

12699640560 is a wasteful number, since it uses less digits than its factorization.

12699640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 12699640560 in words is "twelve billion, six hundred ninety-nine million, six hundred forty thousand, five hundred sixty".