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255155490432 = 27321731372307
BaseRepresentation
bin1110110110100001110…
…0111100111010000000
3220101121020001220110100
43231220130330322000
513140024301143212
6313114455402400
724301663612053
oct3555034747200
9811536056410
10255155490432
1199235693547
124154b083400
131b0a41bc74b
14c4c73caa9a
156985736bdc
hex3b6873ce80

255155490432 has 576 divisors, whose sum is σ = 827467280640. Its totient is φ = 75127357440.

The previous prime is 255155490419. The next prime is 255155490437. The reversal of 255155490432 is 234094551552.

255155490432 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 554 + 90 + 4 + 3 + 2 = 666.

255155490432 is digitally balanced in base 2, 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 (576).

It is not an unprimeable number, because it can be changed into a prime (255155490437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 831125223 + ... + 831125529.

It is an arithmetic number, because the mean of its divisors is an integer number (1436575140).

Almost surely, 2255155490432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255155490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413733640320).

255155490432 is an abundant number, since it is smaller than the sum of its proper divisors (572311790208).

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

255155490432 is a wasteful number, since it uses less digits than its factorization.

255155490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 255155490432 in words is "two hundred fifty-five billion, one hundred fifty-five million, four hundred ninety thousand, four hundred thirty-two".