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5318220960 = 2532513284093
BaseRepresentation
bin1001111001111110…
…11001110010100000
3111201122011121122200
410330333121302200
541342431032320
62235415533200
7245535063243
oct47477316240
914648147580
105318220960
112289aa7138
12104508a200
13669a69110
1438645925a
15211d64290
hex13cfd9ca0

5318220960 has 144 divisors (see below), whose sum is σ = 19544530824. Its totient is φ = 1309095936.

The previous prime is 5318220917. The next prime is 5318220967. The reversal of 5318220960 is 690228135.

It can be written as a sum of positive squares in 4 ways, for example, as 4939840656 + 378380304 = 70284^2 + 19452^2 .

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 not an unprimeable number, because it can be changed into a prime (5318220967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123327 + ... + 160766.

Almost surely, 25318220960 is an apocalyptic number.

It is an amenable number.

5318220960 is an abundant number, since it is smaller than the sum of its proper divisors (14226309864).

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

5318220960 is a wasteful number, since it uses less digits than its factorization.

5318220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284127 (or 284116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5318220960 is about 72926.1335873499. The cubic root of 5318220960 is about 1745.5091340645.

The spelling of 5318220960 in words is "five billion, three hundred eighteen million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 284093 568186 852279 1136372 1420465 1704558 2272744 2556837 2840930 3409116 3693209 4261395 4545488 5113674 5681860 6818232 7386418 8522790 9090976 10227348 11079627 11363720 12784185 13636464 14772836 17045580 18466045 20454696 22159254 22727440 25568370 27272928 29545672 33238881 34091160 36932090 40909392 44318508 45454880 51136740 55398135 59091344 66477762 68182320 73864180 81818784 88637016 102273480 110796270 118182688 132955524 136364640 147728360 166194405 177274032 204546960 221592540 265911048 295456720 332388810 354548064 409093920 443185080 531822096 590913440 664777620 886370160 1063644192 1329555240 1772740320 2659110480 5318220960