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12667898880 = 2103357131953
BaseRepresentation
bin10111100110001000…
…01100110000000000
31012200211212221101000
423303010030300000
5201420440231010
65453005012000
7625631235540
oct136304146000
935624787330
1012667898880
115410775a1a
122556554000
13126b644770
148825db320
154e22017c0
hex2f310cc00

12667898880 has 1408 divisors, whose sum is σ = 59425228800. Its totient is φ = 2484338688.

The previous prime is 12667898851. The next prime is 12667898897. The reversal of 12667898880 is 8889876621.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 239016934 + ... + 239016986.

Almost surely, 212667898880 is an apocalyptic number.

12667898880 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 12667898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712614400).

12667898880 is an abundant number, since it is smaller than the sum of its proper divisors (46757329920).

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

12667898880 is a wasteful number, since it uses less digits than its factorization.

12667898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 12667898880 in words is "twelve billion, six hundred sixty-seven million, eight hundred ninety-eight thousand, eight hundred eighty".