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5313233664 = 28333372281
BaseRepresentation
bin1001111001011000…
…11000001100000000
3111201021210020101000
410330230120030000
541340141434124
62235121012000
7245444512104
oct47454301400
914637706330
105313233664
112287200102
121043484000
13668a1105b
1438591b904
152116cb6c9
hex13cb18300

5313233664 has 144 divisors (see below), whose sum is σ = 15765699040. Its totient is φ = 1765048320.

The previous prime is 5313233659. The next prime is 5313233687. The reversal of 5313233664 is 4663323135.

5313233664 is a `hidden beast` number, since 5 + 313 + 2 + 336 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328204 + ... + 2330484.

Almost surely, 25313233664 is an apocalyptic number.

5313233664 is a gapful number since it is divisible by the number (54) 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 5313233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882849520).

5313233664 is an abundant number, since it is smaller than the sum of its proper divisors (10452465376).

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

5313233664 is a wasteful number, since it uses less digits than its factorization.

5313233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2623 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 5313233664 is about 72891.9314053346. The cubic root of 5313233664 is about 1744.9633316597.

Adding to 5313233664 its reverse (4663323135), we get a palindrome (9976556799).

The spelling of 5313233664 in words is "five billion, three hundred thirteen million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 337 384 432 576 674 768 864 1011 1152 1348 1728 2022 2281 2304 2696 3033 3456 4044 4562 5392 6066 6843 6912 8088 9099 9124 10784 12132 13686 16176 18198 18248 20529 21568 24264 27372 32352 36396 36496 41058 43136 48528 54744 61587 64704 72792 72992 82116 86272 97056 109488 123174 129408 145584 145984 164232 194112 218976 246348 258816 291168 291968 328464 388224 437952 492696 582336 583936 656928 768697 776448 875904 985392 1164672 1313856 1537394 1751808 1970784 2306091 2329344 2627712 3074788 3941568 4612182 5255424 6149576 6918273 7883136 9224364 12299152 13836546 15766272 18448728 20754819 24598304 27673092 36897456 41509638 49196608 55346184 73794912 83019276 98393216 110692368 147589824 166038552 196786432 221384736 295179648 332077104 442769472 590359296 664154208 885538944 1328308416 1771077888 2656616832 5313233664