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5135510208 = 2631311911069
BaseRepresentation
bin1001100100001100…
…11010101011000000
3111020220100221121210
410302012122223000
541004142311313
62205331450120
7241156054653
oct46206325300
914226327553
105135510208
1121a5952914
12bb3a56940
1363ac5644a
1436a09789a
15200cc29c3
hex13219aac0

5135510208 has 112 divisors (see below), whose sum is σ = 13775984640. Its totient is φ = 1688294400.

The previous prime is 5135510203. The next prime is 5135510231. The reversal of 5135510208 is 8020155315.

It is not an unprimeable number, because it can be changed into a prime (5135510203) 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, 4803498 + ... + 4804566.

Almost surely, 25135510208 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 5135510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887992320).

5135510208 is an abundant number, since it is smaller than the sum of its proper divisors (8640474432).

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

5135510208 is a wasteful number, since it uses less digits than its factorization.

5135510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 5135510208 is about 71662.4741967510. The cubic root of 5135510208 is about 1725.2864001677.

The spelling of 5135510208 in words is "five billion, one hundred thirty-five million, five hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 191 192 262 382 393 524 573 764 786 1048 1069 1146 1528 1572 2096 2138 2292 3056 3144 3207 4192 4276 4584 6112 6288 6414 8384 8552 9168 12224 12576 12828 17104 18336 25021 25152 25656 34208 36672 50042 51312 68416 75063 100084 102624 140039 150126 200168 204179 205248 280078 300252 400336 408358 420117 560156 600504 612537 800672 816716 840234 1120312 1201008 1225074 1601344 1633432 1680468 2240624 2402016 2450148 3266864 3360936 4481248 4804032 4900296 6533728 6721872 8962496 9800592 13067456 13443744 19601184 26747449 26887488 39202368 53494898 80242347 106989796 160484694 213979592 320969388 427959184 641938776 855918368 1283877552 1711836736 2567755104 5135510208