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255135101880 = 2335113149197641
BaseRepresentation
bin1110110110011100111…
…1001011001110111000
3220101112210201001121210
43231213033023032320
513140004041230010
6313112450403120
724301325404161
oct3554717131670
9811483631553
10255135101880
11992251282aa
12415442904a0
131b09cc01509
14c4c4800768
156983a5ab20
hex3b673cb3b8

255135101880 has 256 divisors, whose sum is σ = 782526096000. Its totient is φ = 66537390080.

The previous prime is 255135101843. The next prime is 255135101911. The reversal of 255135101880 is 88101531552.

It is a happy number.

It is a Cunningham number, because it is equal to 5051092-1.

It is a super-2 number, since 2×2551351018802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 398026360 + ... + 398027000.

Almost surely, 2255135101880 is an apocalyptic number.

255135101880 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 255135101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391263048000).

255135101880 is an abundant number, since it is smaller than the sum of its proper divisors (527390994120).

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

255135101880 is a wasteful number, since it uses less digits than its factorization.

255135101880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The spelling of 255135101880 in words is "two hundred fifty-five billion, one hundred thirty-five million, one hundred one thousand, eight hundred eighty".