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255541540540 = 22511132911292729
BaseRepresentation
bin1110110111111101110…
…1100111011010111100
3220102121010111021122111
43231333131213122330
513141322113244130
6313221050023404
724314362153426
oct3557735473274
9812533437574
10255541540540
11994135a0720
1241638417b64
131b136188670
14c52279d816
1569a959202a
hex3b7f7676bc

255541540540 has 192 divisors, whose sum is σ = 653011632000. Its totient is φ = 82714705920.

The previous prime is 255541540519. The next prime is 255541540547. The reversal of 255541540540 is 45045145552.

It is a junction number, because it is equal to n+sod(n) for n = 255541540493 and 255541540502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255541540547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93637896 + ... + 93640624.

It is an arithmetic number, because the mean of its divisors is an integer number (3401102250).

Almost surely, 2255541540540 is an apocalyptic number.

255541540540 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 255541540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326505816000).

255541540540 is an abundant number, since it is smaller than the sum of its proper divisors (397470091460).

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

255541540540 is a wasteful number, since it uses less digits than its factorization.

255541540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

The spelling of 255541540540 in words is "two hundred fifty-five billion, five hundred forty-one million, five hundred forty thousand, five hundred forty".