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5353111200 = 2535218112323
BaseRepresentation
bin1001111110001000…
…11111111010100000
3111211001211020001210
410333010133322200
541430344024300
62243103430120
7246440460123
oct47704377240
914731736053
105353111200
1122a7767748
1210548b5340
13674063c28
1438ad3c3ba
15214e57050
hex13f11fea0

5353111200 has 144 divisors (see below), whose sum is σ = 17522066016. Its totient is φ = 1419494400.

The previous prime is 5353111193. The next prime is 5353111219. The reversal of 5353111200 is 21113535.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428239 + ... + 440561.

It is an arithmetic number, because the mean of its divisors is an integer number (121681014).

Almost surely, 25353111200 is an apocalyptic number.

5353111200 is a gapful number since it is divisible by the number (50) 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 5353111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761033008).

5353111200 is an abundant number, since it is smaller than the sum of its proper divisors (12168954816).

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

5353111200 is a wasteful number, since it uses less digits than its factorization.

5353111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12527 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5353111200 is about 73164.9588259298. The cubic root of 5353111200 is about 1749.3179600686.

Adding to 5353111200 its reverse (21113535), we get a palindrome (5374224735).

The spelling of 5353111200 in words is "five billion, three hundred fifty-three million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 181 200 240 300 362 400 480 543 600 724 800 905 1086 1200 1448 1810 2172 2400 2715 2896 3620 4344 4525 5430 5792 7240 8688 9050 10860 12323 13575 14480 17376 18100 21720 24646 27150 28960 36200 36969 43440 49292 54300 61615 72400 73938 86880 98584 108600 123230 144800 147876 184845 197168 217200 246460 295752 308075 369690 394336 434400 492920 591504 616150 739380 924225 985840 1183008 1232300 1478760 1848450 1971680 2230463 2464600 2957520 3696900 4460926 4929200 5915040 6691389 7393800 8921852 9858400 11152315 13382778 14787600 17843704 22304630 26765556 29575200 33456945 35687408 44609260 53531112 55761575 66913890 71374816 89218520 107062224 111523150 133827780 167284725 178437040 214124448 223046300 267655560 334569450 356874080 446092600 535311120 669138900 892185200 1070622240 1338277800 1784370400 2676555600 5353111200