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12689369280 = 263457297103
BaseRepresentation
bin10111101000101100…
…00110100011000000
31012202100021202020000
423310112012203000
5201441434304110
65455053120000
7626311600500
oct136426064300
935670252200
1012689369280
1154218aaa55
122561789000
131272c21243
148853c9a00
154e40431c0
hex2f45868c0

12689369280 has 840 divisors, whose sum is σ = 53564198688. Its totient is φ = 2842656768.

The previous prime is 12689369237. The next prime is 12689369291. The reversal of 12689369280 is 8296398621.

12689369280 is a `hidden beast` number, since 126 + 89 + 369 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×126893692802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123197709 + ... + 123197811.

Almost surely, 212689369280 is an apocalyptic number.

12689369280 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 12689369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782099344).

12689369280 is an abundant number, since it is smaller than the sum of its proper divisors (40874829408).

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

12689369280 is a wasteful number, since it uses less digits than its factorization.

12689369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12689369280 in words is "twelve billion, six hundred eighty-nine million, three hundred sixty-nine thousand, two hundred eighty".