Search a number
-
+
255691054080 = 21035571117157
BaseRepresentation
bin1110111000100001011…
…1111101110000000000
3220102222112211100200000
43232020113331300000
513142123402212310
6313243550400000
724321156046110
oct3561027756000
9812875740600
10255691054080
119948aa30430
124167a500000
131b15b147007
14c53859d040
1569b77774c0
hex3b885fdc00

255691054080 has 2112 divisors, whose sum is σ = 1220594199552. Its totient is φ = 49686773760.

The previous prime is 255691054051. The next prime is 255691054103. The reversal of 255691054080 is 80450196552.

255691054080 is a `hidden beast` number, since 2 + 5 + 569 + 1 + 0 + 5 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1628605362 + ... + 1628605518.

Almost surely, 2255691054080 is an apocalyptic number.

255691054080 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 255691054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610297099776).

255691054080 is an abundant number, since it is smaller than the sum of its proper divisors (964903145472).

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

255691054080 is a wasteful number, since it uses less digits than its factorization.

255691054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 255691054080 in words is "two hundred fifty-five billion, six hundred ninety-one million, fifty-four thousand, eighty".