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255012506532 = 22327223291931123
BaseRepresentation
bin1110110101111111101…
…1100000101110100100
3220101020021000120102100
43231133323200232210
513134231200202112
6313052351012100
724265306353300
oct3553773405644
9811207016370
10255012506532
1199171a03633
124150b20a030
131b0806a91a4
14c4b240ad00
156977de12dc
hex3b5fee0ba4

255012506532 has 432 divisors, whose sum is σ = 814360659840. Its totient is φ = 66881396736.

The previous prime is 255012506519. The next prime is 255012506537. The reversal of 255012506532 is 235605210552.

255012506532 is a `hidden beast` number, since 2 + 550 + 1 + 2 + 50 + 6 + 53 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (255012506537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227080923 + ... + 227082045.

It is an arithmetic number, because the mean of its divisors is an integer number (1885094120).

Almost surely, 2255012506532 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 255012506532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407180329920).

255012506532 is an abundant number, since it is smaller than the sum of its proper divisors (559348153308).

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

255012506532 is a wasteful number, since it uses less digits than its factorization.

255012506532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 255012506532 in words is "two hundred fifty-five billion, twelve million, five hundred six thousand, five hundred thirty-two".