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12884383680 = 2635731127487
BaseRepresentation
bin10111111111111100…
…00001011111000000
31020020221020111200120
423333332001133000
5202341400234210
65530301020240
7634200311550
oct137776013700
936227214616
1012884383680
115511998183
1225b6b54680
1312a445118c
148a3271160
15506215270
hex2fff817c0

12884383680 has 448 divisors, whose sum is σ = 48739909632. Its totient is φ = 2821754880.

The previous prime is 12884383643. The next prime is 12884383709. The reversal of 12884383680 is 8638348821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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, 26456397 + ... + 26456883.

Almost surely, 212884383680 is an apocalyptic number.

12884383680 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 12884383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369954816).

12884383680 is an abundant number, since it is smaller than the sum of its proper divisors (35855525952).

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

12884383680 is a wasteful number, since it uses less digits than its factorization.

12884383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 12884383680 in words is "twelve billion, eight hundred eighty-four million, three hundred eighty-three thousand, six hundred eighty".