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255953050704 = 2432134312725037
BaseRepresentation
bin1110111001011111111…
…1011001110001010000
3220110122210211011110200
43232113333121301100
513143142440110304
6313325550055200
724330520014501
oct3562777316120
9813583734420
10255953050704
119960490836a
12417321aa500
131b1a04c9cc0
14c5612bcba8
1569d077ae39
hex3b97fd9c50

255953050704 has 240 divisors, whose sum is σ = 795601078272. Its totient is φ = 76314534912.

The previous prime is 255953050637. The next prime is 255953050757. The reversal of 255953050704 is 407050359552.

255953050704 is a `hidden beast` number, since 2 + 5 + 595 + 3 + 0 + 50 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 255953050704.

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 47 ways as a sum of consecutive naturals, for example, 10210474 + ... + 10235510.

Almost surely, 2255953050704 is an apocalyptic number.

255953050704 is a gapful number since it is divisible by the number (24) 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 255953050704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800539136).

255953050704 is an abundant number, since it is smaller than the sum of its proper divisors (539648027568).

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

255953050704 is a wasteful number, since it uses less digits than its factorization.

255953050704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25234 (or 25225 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 255953050704 in words is "two hundred fifty-five billion, nine hundred fifty-three million, fifty thousand, seven hundred four".