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255226997760 = 21035723110939
BaseRepresentation
bin1110110110110010110…
…1101110110000000000
3220101210012121212001220
43231230231232300000
513140201102412020
6313125532155040
724303522454200
oct3555455566000
9811705555056
10255226997760
1199271a94009
124156b008a80
131b0b5c68387
14c4d2ac2400
15698bb5e240
hex3b6cb6ec00

255226997760 has 528 divisors, whose sum is σ = 980327623680. Its totient is φ = 56450580480.

The previous prime is 255226997741. The next prime is 255226997771. The reversal of 255226997760 is 67799622552.

255226997760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 255226997694 and 255226997703.

It is an unprimeable number.

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, 23326371 + ... + 23337309.

Almost surely, 2255226997760 is an apocalyptic number.

255226997760 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 255226997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490163811840).

255226997760 is an abundant number, since it is smaller than the sum of its proper divisors (725100625920).

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

255226997760 is a wasteful number, since it uses less digits than its factorization.

255226997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 255226997760 in words is "two hundred fifty-five billion, two hundred twenty-six million, nine hundred ninety-seven thousand, seven hundred sixty".