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256228983780 = 2235711197281527
BaseRepresentation
bin1110111010100001110…
…0000000001111100100
3220111101001001000111020
43232220130000033210
513144224104440110
6313413204211140
724340410266220
oct3565034001744
9814331030436
10256228983780
1199736643a30
12417aa699ab0
131b21571c503
14c589bc9780
1569e9ad3d70
hex3ba87003e4

256228983780 has 192 divisors, whose sum is σ = 899015749632. Its totient is φ = 52971932160.

The previous prime is 256228983763. The next prime is 256228983781. The reversal of 256228983780 is 87389822652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (256228983781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769377 + ... + 1050903.

It is an arithmetic number, because the mean of its divisors is an integer number (4682373696).

Almost surely, 2256228983780 is an apocalyptic number.

256228983780 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 256228983780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449507874816).

256228983780 is an abundant number, since it is smaller than the sum of its proper divisors (642786765852).

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

256228983780 is a wasteful number, since it uses less digits than its factorization.

256228983780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281754 (or 281752 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 256228983780 in words is "two hundred fifty-six billion, two hundred twenty-eight million, nine hundred eighty-three thousand, seven hundred eighty".