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255946230540 = 223357211131723173
BaseRepresentation
bin1110111001011110010…
…1011000101100001100
3220110122022222122222000
43232113211120230030
513143134213334130
6313325143552300
724330405030600
oct3562745305414
9813568878860
10255946230540
1199600a7a270
124172ba5b690
131b19bc7c8c0
14c560425500
1569ced80260
hex3b97958b0c

255946230540 has 2304 divisors, whose sum is σ = 1209278730240. Its totient is φ = 43940413440.

The previous prime is 255946230521. The next prime is 255946230571. The reversal of 255946230540 is 45032649552.

255946230540 is a `hidden beast` number, since 2 + 5 + 594 + 6 + 2 + 3 + 0 + 54 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 1479457894 + ... + 1479458066.

It is an arithmetic number, because the mean of its divisors is an integer number (524860560).

Almost surely, 2255946230540 is an apocalyptic number.

255946230540 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 255946230540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604639365120).

255946230540 is an abundant number, since it is smaller than the sum of its proper divisors (953332499700).

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

255946230540 is a wasteful number, since it uses less digits than its factorization.

255946230540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 255946230540 in words is "two hundred fifty-five billion, nine hundred forty-six million, two hundred thirty thousand, five hundred forty".