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255541435656 = 2331337197313359
BaseRepresentation
bin1110110111111101110…
…1001101110100001000
3220102121010021221202220
43231333131031310020
513141322101420111
6313221043454040
724314361235563
oct3557735156410
9812533257686
10255541435656
1199413529941
1241638387320
131b13614c9c0
14c5227734da
1569a9570e06
hex3b7f74dd08

255541435656 has 256 divisors, whose sum is σ = 714430886400. Its totient is φ = 75660189696.

The previous prime is 255541435651. The next prime is 255541435691. The reversal of 255541435656 is 656534145552.

It is a junction number, because it is equal to n+sod(n) for n = 255541435599 and 255541435608.

It is not an unprimeable number, because it can be changed into a prime (255541435651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711814405 + ... + 711814763.

It is an arithmetic number, because the mean of its divisors is an integer number (2790745650).

Almost surely, 2255541435656 is an apocalyptic number.

255541435656 is a gapful number since it is divisible by the number (26) 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 255541435656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357215443200).

255541435656 is an abundant number, since it is smaller than the sum of its proper divisors (458889450744).

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

255541435656 is a wasteful number, since it uses less digits than its factorization.

255541435656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 51.

The spelling of 255541435656 in words is "two hundred fifty-five billion, five hundred forty-one million, four hundred thirty-five thousand, six hundred fifty-six".