Search a number
-
+
255400319016 = 23323547226653
BaseRepresentation
bin1110110111011100001…
…0111001100000101000
3220102020021202111010200
43231313002321200220
513141024440202031
6313155043112200
724311025615033
oct3556702714050
9812207674120
10255400319016
1199350904917
12415b9072660
131b112b4132b
14c50bb1c01a
15699be988e6
hex3b770b9828

255400319016 has 24 divisors (see below), whose sum is σ = 691709197530. Its totient is φ = 85133439648.

The previous prime is 255400319003. The next prime is 255400319047. The reversal of 255400319016 is 610913004552.

255400319016 is a `hidden beast` number, since 2 + 55 + 400 + 3 + 190 + 16 = 666.

255400319016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128845102500 + 126555216516 = 358950^2 + 355746^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 1773613255 + ... + 1773613398.

Almost surely, 2255400319016 is an apocalyptic number.

It is an amenable number.

255400319016 is an abundant number, since it is smaller than the sum of its proper divisors (436308878514).

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

255400319016 is a wasteful number, since it uses less digits than its factorization.

255400319016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547226665 (or 3547226658 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 255400319016 in words is "two hundred fifty-five billion, four hundred million, three hundred nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3547226653 7094453306 10641679959 14188906612 21283359918 28377813224 31925039877 42566719836 63850079754 85133439672 127700159508 255400319016