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285271297920 = 27325717340897
BaseRepresentation
bin1000010011010110111…
…11101000111110000000
31000021100001021102211200
410021223133220332000
514133213423013140
6335015105541200
726416201011060
oct4115337507600
91007301242750
10285271297920
11aaa8a235444
1247354944800
1320b9357138b
14db42d7d3a0
1576495d9030
hex426b7e8f80

285271297920 has 384 divisors, whose sum is σ = 1132338018240. Its totient is φ = 64826376192.

The previous prime is 285271297919. The next prime is 285271297921. The reversal of 285271297920 is 29792172582.

285271297920 is a `hidden beast` number, since 2 + 8 + 527 + 1 + 2 + 97 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (285271297919) and next prime (285271297921).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2852712979202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285271297921) 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 47 ways as a sum of consecutive naturals, for example, 6954912 + ... + 6995808.

Almost surely, 2285271297920 is an apocalyptic number.

285271297920 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 285271297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566169009120).

285271297920 is an abundant number, since it is smaller than the sum of its proper divisors (847066720320).

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

285271297920 is a wasteful number, since it uses less digits than its factorization.

285271297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41102 (or 41087 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 285271297920 in words is "two hundred eighty-five billion, two hundred seventy-one million, two hundred ninety-seven thousand, nine hundred twenty".