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255143800800 = 25335273759773
BaseRepresentation
bin1110110110011111000…
…0010110111111100000
3220101120102002000022000
43231213300112333200
513140013303111200
6313113401044000
724301462344360
oct3554760267740
9811512060260
10255143800800
119922a029999
1241547186600
131b0a1958ac5
14c4c5a269a0
1569846c8300
hex3b67c16fe0

255143800800 has 1152 divisors, whose sum is σ = 1102879411200. Its totient is φ = 55708508160.

The previous prime is 255143800777. The next prime is 255143800811. The reversal of 255143800800 is 8008341552.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 330069214 + ... + 330069986.

It is an arithmetic number, because the mean of its divisors is an integer number (957360600).

Almost surely, 2255143800800 is an apocalyptic number.

255143800800 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 255143800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551439705600).

255143800800 is an abundant number, since it is smaller than the sum of its proper divisors (847735610400).

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

255143800800 is a wasteful number, since it uses less digits than its factorization.

255143800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 255143800800 in words is "two hundred fifty-five billion, one hundred forty-three million, eight hundred thousand, eight hundred".