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255921683472 = 2432713219372137
BaseRepresentation
bin1110111001011000011…
…1101111110000010000
3220110120121210112201100
43232112013233300100
513143111422332342
6313322505504400
724326656263030
oct3562607576020
9813517715640
10255921683472
1199599133734
12417237a2100
131b196b66900
14c55b0758c0
1569ccb31e4c
hex3b961efc10

255921683472 has 720 divisors, whose sum is σ = 958666200960. Its totient is φ = 62186102784.

The previous prime is 255921683443. The next prime is 255921683483. The reversal of 255921683472 is 274386129552.

255921683472 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 2 + 168 + 3 + 472 = 666.

It is a super-2 number, since 2×2559216834722 (a number of 24 digits) contains 22 as substring.

Its product of digits (7257600) is a multiple of the sum of its prime factors (2240).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119756388 + ... + 119758524.

Almost surely, 2255921683472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255921683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479333100480).

255921683472 is an abundant number, since it is smaller than the sum of its proper divisors (702744517488).

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

255921683472 is a wasteful number, since it uses less digits than its factorization.

255921683472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2218 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 255921683472 in words is "two hundred fifty-five billion, nine hundred twenty-one million, six hundred eighty-three thousand, four hundred seventy-two".