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255384483552 = 253311194730091
BaseRepresentation
bin1110110111011000011…
…0011111011011100000
3220102012011221221222000
43231312012133123200
513141011411433202
6313153315444000
724310444202352
oct3556606373340
9812164857860
10255384483552
1199342979460
12415b38b6600
131b10c788633
14c5099990d2
15699a8bb91c
hex3b7619f6e0

255384483552 has 384 divisors, whose sum is σ = 873582796800. Its totient is φ = 71753817600.

The previous prime is 255384483467. The next prime is 255384483553.

255384483552 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 8 + 4 + 4 + 83 + 552 = 666.

255384483552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255384483553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8472027 + ... + 8502117.

It is an arithmetic number, because the mean of its divisors is an integer number (2274955200).

Almost surely, 2255384483552 is an apocalyptic number.

255384483552 is a gapful number since it is divisible by the number (22) 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 255384483552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436791398400).

255384483552 is an abundant number, since it is smaller than the sum of its proper divisors (618198313248).

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

255384483552 is a wasteful number, since it uses less digits than its factorization.

255384483552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30187 (or 30173 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 255384483552 in words is "two hundred fifty-five billion, three hundred eighty-four million, four hundred eighty-three thousand, five hundred fifty-two".