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5316986400 = 2535211201401
BaseRepresentation
bin1001111001110101…
…01100011000100000
3111201112211220011020
410330322230120200
541342122031100
62235333245440
7245521432035
oct47472543040
914645756136
105316986400
112289333640
121044793880
136697261cb
1438621738c
15211bbd5a0
hex13ceac620

5316986400 has 144 divisors (see below), whose sum is σ = 18880229088. Its totient is φ = 1288960000.

The previous prime is 5316986399. The next prime is 5316986413. The reversal of 5316986400 is 46896135.

It is a super-3 number, since 3×53169864003 (a number of 30 digits) contains 333 as substring.

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, 74301 + ... + 127100.

It is an arithmetic number, because the mean of its divisors is an integer number (131112702).

Almost surely, 25316986400 is an apocalyptic number.

5316986400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5316986400 is an abundant number, since it is smaller than the sum of its proper divisors (13563242688).

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

5316986400 is a wasteful number, since it uses less digits than its factorization.

5316986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201435 (or 201422 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5316986400 is about 72917.6686407348. The cubic root of 5316986400 is about 1745.3740574075.

The spelling of 5316986400 in words is "five billion, three hundred sixteen million, nine hundred eighty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 201401 402802 604203 805604 1007005 1208406 1611208 2014010 2215411 2416812 3021015 3222416 4028020 4430822 4833624 5035025 6042030 6444832 6646233 8056040 8861644 9667248 10070050 11077055 12084060 13292466 15105075 16112080 17723288 19334496 20140100 22154110 24168120 26584932 30210150 32224160 33231165 35446576 40280200 44308220 48336240 53169864 55385275 60420300 66462330 70893152 80560400 88616440 96672480 106339728 110770550 120840600 132924660 161120800 166155825 177232880 212679456 221541100 241681200 265849320 332311650 354465760 443082200 483362400 531698640 664623300 886164400 1063397280 1329246600 1772328800 2658493200 5316986400