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255107097960 = 23351113176591327
BaseRepresentation
bin1110110110010110010…
…0010110010101101000
3220101110212000022110120
43231211210112111220
513134424404113320
6313110010243240
724300535361121
oct3554544262550
9811425008416
10255107097960
1199210340570
1241536a26520
131b097177c50
14c4c0bd1048
156981378440
hex3b65916568

255107097960 has 512 divisors, whose sum is σ = 954171187200. Its totient is φ = 53606891520.

The previous prime is 255107097929. The next prime is 255107097961. The reversal of 255107097960 is 69790701552.

255107097960 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 (51).

It is not an unprimeable number, because it can be changed into a prime (255107097961) 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 127 ways as a sum of consecutive naturals, for example, 192242817 + ... + 192244143.

It is an arithmetic number, because the mean of its divisors is an integer number (1863615600).

Almost surely, 2255107097960 is an apocalyptic number.

255107097960 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 255107097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477085593600).

255107097960 is an abundant number, since it is smaller than the sum of its proper divisors (699064089240).

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

255107097960 is a wasteful number, since it uses less digits than its factorization.

255107097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

The spelling of 255107097960 in words is "two hundred fifty-five billion, one hundred seven million, ninety-seven thousand, nine hundred sixty".