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256011441600 = 263521931831091
BaseRepresentation
bin1110111001101101111…
…0001001010111000000
3220110210212200201201110
43232123132021113000
513143302412112400
6313335433403320
724332126230365
oct3563336112700
9813725621643
10256011441600
119963486a302
1241749869540
131b1ac632725
14c568d5c46c
1569d5961e50
hex3b9b7895c0

256011441600 has 672 divisors, whose sum is σ = 924500828160. Its totient is φ = 61779456000.

The previous prime is 256011441559. The next prime is 256011441601. The reversal of 256011441600 is 6144110652.

256011441600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2560114416002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256011441601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234657055 + ... + 234658145.

It is an arithmetic number, because the mean of its divisors is an integer number (1375745280).

Almost surely, 2256011441600 is an apocalyptic number.

256011441600 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 256011441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462250414080).

256011441600 is an abundant number, since it is smaller than the sum of its proper divisors (668489386560).

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

256011441600 is a wasteful number, since it uses less digits than its factorization.

256011441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 256011441600 in words is "two hundred fifty-six billion, eleven million, four hundred forty-one thousand, six hundred".