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255486921120 = 25345412831699
BaseRepresentation
bin1110110111110000110…
…1010000100110100000
3220102110022201022220000
43231330031100212200
513141214122433440
6313211415220000
724313126666224
oct3557415204640
9812408638800
10255486921120
1199395785302
1241622077600
131b127a73792
14c519422784
1569a48a3730
hex3b7c3509a0

255486921120 has 480 divisors, whose sum is σ = 927456868800. Its totient is φ = 66194288640.

The previous prime is 255486921097. The next prime is 255486921139. The reversal of 255486921120 is 21129684552.

255486921120 is a `hidden beast` number, since 2 + 5 + 548 + 6 + 92 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150374031 + ... + 150375729.

It is an arithmetic number, because the mean of its divisors is an integer number (1932201810).

Almost surely, 2255486921120 is an apocalyptic number.

255486921120 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 255486921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463728434400).

255486921120 is an abundant number, since it is smaller than the sum of its proper divisors (671969947680).

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

255486921120 is a wasteful number, since it uses less digits than its factorization.

255486921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 255486921120 in words is "two hundred fifty-five billion, four hundred eighty-six million, nine hundred twenty-one thousand, one hundred twenty".