Search a number
-
+
12696696000 = 263353431367
BaseRepresentation
bin10111101001100100…
…00011010011000000
31012202212001222121000
423310302003103000
5202000323233000
65455514132000
7626431064262
oct136462032300
935685058530
1012696696000
115425a5469a
122564121000
1312745b8091
14886375b32
154e49de000
hex2f4c834c0

12696696000 has 448 divisors, whose sum is σ = 47700956160. Its totient is φ = 3304627200.

The previous prime is 12696695993. The next prime is 12696696011. The reversal of 12696696000 is 69669621.

It is a super-2 number, since 2×126966960002 (a number of 21 digits) contains 22 as substring.

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

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, 9287317 + ... + 9288683.

Almost surely, 212696696000 is an apocalyptic number.

12696696000 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 12696696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850478080).

12696696000 is an abundant number, since it is smaller than the sum of its proper divisors (35004260160).

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

12696696000 is a wasteful number, since it uses less digits than its factorization.

12696696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12696696000 in words is "twelve billion, six hundred ninety-six million, six hundred ninety-six thousand".