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5333663040 = 263546711897
BaseRepresentation
bin1001111011110100…
…10011110101000000
3111202201020011012120
410331322103311000
541410404204130
62241130524240
7246113250006
oct47572236500
914681204176
105333663040
112297793a92
12104a296680
13670014a44
14388518a76
152133b4910
hex13de93d40

5333663040 has 112 divisors (see below), whose sum is σ = 16972068672. Its totient is φ = 1419145216.

The previous prime is 5333663029. The next prime is 5333663053. The reversal of 5333663040 is 403663335.

It is a super-2 number, since 2×53336630402 = 56895922848524083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5333662992 and 5333663010.

It is a congruent number.

It is an unprimeable number.

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, 442372 + ... + 454268.

Almost surely, 25333663040 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 5333663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486034336).

5333663040 is an abundant number, since it is smaller than the sum of its proper divisors (11638405632).

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

5333663040 is a wasteful number, since it uses less digits than its factorization.

5333663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12374 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 33.

The square root of 5333663040 is about 73031.9316463696. The cubic root of 5333663040 is about 1747.1969318936.

The spelling of 5333663040 in words is "five billion, three hundred thirty-three million, six hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 467 480 934 960 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 11897 14010 14944 18680 22416 23794 28020 29888 35691 37360 44832 47588 56040 59485 71382 74720 89664 95176 112080 118970 142764 149440 178455 190352 224160 237940 285528 356910 380704 448320 475880 571056 713820 761408 951760 1142112 1427640 1903520 2284224 2855280 3807040 5555899 5710560 11111798 11421120 16667697 22223596 27779495 33335394 44447192 55558990 66670788 83338485 88894384 111117980 133341576 166676970 177788768 222235960 266683152 333353940 355577536 444471920 533366304 666707880 888943840 1066732608 1333415760 1777887680 2666831520 5333663040