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4416710368 = 257316110427
BaseRepresentation
bin1000001110100000…
…11010011011100000
3102101210211010121111
410013100122123200
533021134212433
62010133233104
7214310263420
oct40720323340
912353733544
104416710368
111967132964
12a33192794
13555063cb5
142dc828480
151acb39dcd
hex10741a6e0

4416710368 has 96 divisors (see below), whose sum is σ = 10427332608. Its totient is φ = 1801612800.

The previous prime is 4416710317. The next prime is 4416710383. The reversal of 4416710368 is 8630176144.

It is a self number, because there is not a number n which added to its sum of digits gives 4416710368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418371 + ... + 428797.

It is an arithmetic number, because the mean of its divisors is an integer number (108618048).

Almost surely, 24416710368 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 4416710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213666304).

4416710368 is an abundant number, since it is smaller than the sum of its proper divisors (6010622240).

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

4416710368 is a wasteful number, since it uses less digits than its factorization.

4416710368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4416710368 is about 66458.3355795193. The cubic root of 4416710368 is about 1640.7143388184.

The spelling of 4416710368 in words is "four billion, four hundred sixteen million, seven hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 61 62 112 122 124 217 224 244 248 427 434 488 496 854 868 976 992 1708 1736 1891 1952 3416 3472 3782 6832 6944 7564 10427 13237 13664 15128 20854 26474 30256 41708 52948 60512 72989 83416 105896 145978 166832 211792 291956 323237 333664 423584 583912 636047 646474 1167824 1272094 1292948 2262659 2335648 2544188 2585896 4452329 4525318 5088376 5171792 8904658 9050636 10176752 10343584 17809316 18101272 19717457 20353504 35618632 36202544 39434914 71237264 72405088 78869828 138022199 142474528 157739656 276044398 315479312 552088796 630958624 1104177592 2208355184 4416710368