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4313013864 = 2332943211683
BaseRepresentation
bin1000000010001001…
…10101111001101000
3102010120200210202020
410001010311321220
532313112420424
61551550504440
7211611004305
oct40104657150
912116623666
104313013864
111913647175
12a04505120
13539727b13
142ccb540ac
151a39a5079
hex101135e68

4313013864 has 128 divisors (see below), whose sum is σ = 11484633600. Its totient is φ = 1347413760.

The previous prime is 4313013839. The next prime is 4313013877. The reversal of 4313013864 is 4683103134.

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 31 ways as a sum of consecutive naturals, for example, 6314467 + ... + 6315149.

It is an arithmetic number, because the mean of its divisors is an integer number (89723700).

Almost surely, 24313013864 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 4313013864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742316800).

4313013864 is an abundant number, since it is smaller than the sum of its proper divisors (7171619736).

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

4313013864 is a wasteful number, since it uses less digits than its factorization.

4313013864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4313013864 is about 65673.5400599054. The cubic root of 4313013864 is about 1627.7721661580.

Adding to 4313013864 its reverse (4683103134), we get a palindrome (8996116998).

The spelling of 4313013864 in words is "four billion, three hundred thirteen million, thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 211 232 258 344 348 422 516 633 683 696 844 1032 1247 1266 1366 1688 2049 2494 2532 2732 3741 4098 4988 5064 5464 6119 7482 8196 9073 9976 12238 14964 16392 18146 18357 19807 24476 27219 29369 29928 36292 36714 39614 48952 54438 58738 59421 72584 73428 79228 88107 108876 117476 118842 144113 146856 158456 176214 217752 234952 237684 263117 288226 352428 432339 475368 526234 576452 704856 789351 851701 864678 1052468 1152904 1578702 1703402 1729356 2104936 2555103 3157404 3406804 3458712 4179277 5110206 6196859 6314808 6813608 8358554 10220412 12393718 12537831 16717108 18590577 20440824 24787436 25075662 33434216 37181154 49574872 50151324 74362308 100302648 148724616 179708911 359417822 539126733 718835644 1078253466 1437671288 2156506932 4313013864