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5356331316 = 22327219315733
BaseRepresentation
bin1001111110100001…
…10010000100110100
3111211021212211020100
410333100302010310
541432210100231
62243300434100
7246510031200
oct47720620464
914737784210
105356331316
1122a9566aa6
1210559a8930
1367492081b
1438b539b00
152153911e6
hex13f432134

5356331316 has 108 divisors (see below), whose sum is σ = 15832778052. Its totient is φ = 1522354176.

The previous prime is 5356331293. The next prime is 5356331317. The reversal of 5356331316 is 6131336535.

5356331316 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 331 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 896762916 + 4459568400 = 29946^2 + 66780^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5356331317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332586 + ... + 348318.

Almost surely, 25356331316 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 5356331316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916389026).

5356331316 is an abundant number, since it is smaller than the sum of its proper divisors (10476446736).

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

5356331316 is a wasteful number, since it uses less digits than its factorization.

5356331316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15950 (or 15938 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 5356331316 is about 73186.9613797430. The cubic root of 5356331316 is about 1749.6686519326.

The spelling of 5356331316 in words is "five billion, three hundred fifty-six million, three hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 193 196 252 294 386 441 579 588 772 882 1158 1351 1737 1764 2316 2702 3474 4053 5404 6948 8106 9457 12159 15733 16212 18914 24318 28371 31466 37828 47199 48636 56742 62932 85113 94398 110131 113484 141597 170226 188796 220262 283194 330393 340452 440524 566388 660786 770917 991179 1321572 1541834 1982358 2312751 3036469 3083668 3964716 4625502 6072938 6938253 9109407 9251004 12145876 13876506 18218814 21255283 27328221 27753012 36437628 42510566 54656442 63765849 85021132 109312884 127531698 148786981 191297547 255063396 297573962 382595094 446360943 595147924 765190188 892721886 1339082829 1785443772 2678165658 5356331316