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5202916096 = 28717233733
BaseRepresentation
bin1001101100001111…
…00011001100000000
3111102121012112010011
410312013203030000
541123421303341
62220140314304
7242635025410
oct46607431400
914377175104
105202916096
11222aa01964
121012542994
1364bbc72a1
14375002640
15206b89b81
hex1361e3300

5202916096 has 144 divisors (see below), whose sum is σ = 12638493504. Its totient is φ = 2086797312.

The previous prime is 5202916087. The next prime is 5202916099. The reversal of 5202916096 is 6906192025.

It is not an unprimeable number, because it can be changed into a prime (5202916099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7097746 + ... + 7098478.

It is an arithmetic number, because the mean of its divisors is an integer number (87767316).

Almost surely, 25202916096 is an apocalyptic number.

5202916096 is a gapful number since it is divisible by the number (56) 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 5202916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319246752).

5202916096 is an abundant number, since it is smaller than the sum of its proper divisors (7435577408).

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

5202916096 is a wasteful number, since it uses less digits than its factorization.

5202916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 5202916096 is about 72131.2421631570. The cubic root of 5202916096 is about 1732.8020009827.

The spelling of 5202916096 in words is "five billion, two hundred two million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 233 238 256 272 448 466 476 544 733 896 932 952 1088 1466 1631 1792 1864 1904 2176 2932 3262 3728 3808 3961 4352 5131 5864 6524 7456 7616 7922 10262 11728 12461 13048 14912 15232 15844 20524 23456 24922 26096 27727 29824 30464 31688 41048 46912 49844 52192 55454 59648 63376 82096 87227 93824 99688 104384 110908 126752 164192 170789 174454 187648 199376 208768 221816 253504 328384 341578 348908 398752 417536 443632 507008 656768 683156 697816 797504 887264 1014016 1195523 1313536 1366312 1395632 1595008 1774528 2391046 2732624 2791264 2903413 3190016 3549056 4782092 5465248 5582528 5806826 7098112 9564184 10930496 11165056 11613652 19128368 20323891 21860992 22330112 23227304 38256736 40647782 43721984 46454608 76513472 81295564 92909216 153026944 162591128 185818432 306053888 325182256 371636864 650364512 743273728 1300729024 2601458048 5202916096