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5109330336 = 253119535077
BaseRepresentation
bin1001100001000101…
…00011000110100000
3111012002002212120220
410300202203012200
540430442032321
62202554403040
7240420406545
oct46042430640
914162085526
105109330336
1121920a1560
12ba7130480
136356bb1b6
14366800bcc
151ed8509c6
hex1308a31a0

5109330336 has 96 divisors (see below), whose sum is σ = 14649501888. Its totient is φ = 1546352640.

The previous prime is 5109330319. The next prime is 5109330341. The reversal of 5109330336 is 6330339015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51093303362 = 52210512964739745792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5109330297 and 5109330306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003830 + ... + 1008906.

It is an arithmetic number, because the mean of its divisors is an integer number (152598978).

Almost surely, 25109330336 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 5109330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324750944).

5109330336 is an abundant number, since it is smaller than the sum of its proper divisors (9540171552).

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

5109330336 is a wasteful number, since it uses less digits than its factorization.

5109330336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 5109330336 is about 71479.5798532700. The cubic root of 5109330336 is about 1722.3496749156.

The spelling of 5109330336 in words is "five billion, one hundred nine million, three hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 953 1056 1906 2859 3812 5077 5718 7624 10154 10483 11436 15231 15248 20308 20966 22872 30462 30496 31449 40616 41932 45744 55847 60924 62898 81232 83864 91488 111694 121848 125796 162464 167541 167728 223388 243696 251592 335082 335456 446776 487392 503184 670164 893552 1006368 1340328 1787104 2680656 4838381 5361312 9676762 14515143 19353524 29030286 38707048 53222191 58060572 77414096 106444382 116121144 154828192 159666573 212888764 232242288 319333146 425777528 464484576 638666292 851555056 1277332584 1703110112 2554665168 5109330336