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4668780256 = 257137167911
BaseRepresentation
bin1000101100100011…
…11110111011100000
3110001101010121111021
410112101332323200
534030201432011
62051140055224
7223460656150
oct42621767340
913041117437
104668780256
111a8644a788
12aa3694514
1359534c88a
143240c2760
151c4d2c471
hex11647eee0

4668780256 has 96 divisors (see below), whose sum is σ = 10656479232. Its totient is φ = 1972239360.

The previous prime is 4668780251. The next prime is 4668780257. The reversal of 4668780256 is 6520878664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668780251) 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 15 ways as a sum of consecutive naturals, for example, 5124441 + ... + 5125351.

It is an arithmetic number, because the mean of its divisors is an integer number (111004992).

Almost surely, 24668780256 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 4668780256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328239616).

4668780256 is an abundant number, since it is smaller than the sum of its proper divisors (5987698976).

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

4668780256 is a wasteful number, since it uses less digits than its factorization.

4668780256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 4668780256 is about 68328.4732450536. The cubic root of 4668780256 is about 1671.3515605537.

The spelling of 4668780256 in words is "four billion, six hundred sixty-eight million, seven hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 167 224 274 334 548 668 911 959 1096 1169 1336 1822 1918 2192 2338 2672 3644 3836 4384 4676 5344 6377 7288 7672 9352 12754 14576 15344 18704 22879 25508 29152 30688 37408 45758 51016 91516 102032 124807 152137 160153 183032 204064 249614 304274 320306 366064 499228 608548 640612 732128 873649 998456 1064959 1217096 1281224 1747298 1996912 2129918 2434192 2562448 3494596 3993824 4259836 4868384 5124896 6989192 8519672 13978384 17039344 20842769 27956768 34078688 41685538 83371076 145899383 166742152 291798766 333484304 583597532 666968608 1167195064 2334390128 4668780256