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256263660000 = 25325443113293
BaseRepresentation
bin1110111010101010000…
…0010010000111100000
3220111110110021202022200
43232222200102013200
513144311444110000
6313420443333200
724341311112115
oct3565240220740
9814413252280
10256263660000
1199754178767
12417ba221200
131b21c970a9a
14c59065490c
1569ecb83500
hex3baa8121e0

256263660000 has 720 divisors, whose sum is σ = 943278191856. Its totient is φ = 65931264000.

The previous prime is 256263659921. The next prime is 256263660019. The reversal of 256263660000 is 66362652.

256263660000 is a `hidden beast` number, since 2 + 562 + 6 + 36 + 60 + 0 + 0 + 0 = 666.

256263660000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 874619854 + ... + 874620146.

Almost surely, 2256263660000 is an apocalyptic number.

256263660000 is a gapful number since it is divisible by the number (20) 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 256263660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471639095928).

256263660000 is an abundant number, since it is smaller than the sum of its proper divisors (687014531856).

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

256263660000 is a wasteful number, since it uses less digits than its factorization.

256263660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 256263660000 in words is "two hundred fifty-six billion, two hundred sixty-three million, six hundred sixty thousand".