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8313303864 = 23343103197397
BaseRepresentation
bin1111011111000001…
…01111001100111000
3210110100221121000010
413233200233030320
5114011201210424
63452530541520
7413003626335
oct75740571470
923410847003
108313303864
113586709268
1217401378a0
13a2641b518
1458c14198c
15339c86229
hex1ef82f338

8313303864 has 128 divisors (see below), whose sum is σ = 21636426240. Its totient is φ = 2660055552.

The previous prime is 8313303863. The next prime is 8313303941. The reversal of 8313303864 is 4683033138.

It is a super-2 number, since 2×83133038642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8313303863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20940114 + ... + 20940510.

It is an arithmetic number, because the mean of its divisors is an integer number (169034580).

Almost surely, 28313303864 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 8313303864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10818213120).

8313303864 is an abundant number, since it is smaller than the sum of its proper divisors (13323122376).

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

8313303864 is a wasteful number, since it uses less digits than its factorization.

8313303864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 8313303864 is about 91177.3209959582. The cubic root of 8313303864 is about 2025.7750517096.

The spelling of 8313303864 in words is "eight billion, three hundred thirteen million, three hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 129 172 197 206 258 309 344 394 397 412 516 591 618 788 794 824 1032 1182 1191 1236 1576 1588 2364 2382 2472 3176 4429 4728 4764 8471 8858 9528 13287 16942 17071 17716 20291 25413 26574 33884 34142 35432 40582 40891 50826 51213 53148 60873 67768 68284 78209 81164 81782 101652 102426 106296 121746 122673 136568 156418 162328 163564 203304 204852 234627 243492 245346 312836 327128 409704 469254 486984 490692 625672 872513 938508 981384 1745026 1758313 1877016 2617539 3362987 3490052 3516626 5235078 5274939 6725974 6980104 7033252 8055527 10088961 10470156 10549878 13451948 14066504 16111054 20177922 20940312 21099756 24166581 26903896 32222108 40355844 42199512 48333162 64444216 80711688 96666324 193332648 346387661 692775322 1039162983 1385550644 2078325966 2771101288 4156651932 8313303864