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5133435336 = 2332734792039
BaseRepresentation
bin1001100011111101…
…00000000111001000
3111020202110112102200
410301332200013020
541003124412321
62205215200200
7241132323531
oct46176400710
914222415380
105133435336
1121a4765a47
12bb3216060
1363a6aac03
14369ab7688
15200a12d26
hex131fa01c8

5133435336 has 96 divisors (see below), whose sum is σ = 14129856000. Its totient is φ = 1683355392.

The previous prime is 5133435323. The next prime is 5133435337. The reversal of 5133435336 is 6335343315.

5133435336 is a `hidden beast` number, since 51 + 33 + 43 + 533 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5133435336.

It is not an unprimeable number, because it can be changed into a prime (5133435337) 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, 2516605 + ... + 2518643.

It is an arithmetic number, because the mean of its divisors is an integer number (147186000).

Almost surely, 25133435336 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 5133435336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064928000).

5133435336 is an abundant number, since it is smaller than the sum of its proper divisors (8996420664).

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

5133435336 is a wasteful number, since it uses less digits than its factorization.

5133435336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2596 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The square root of 5133435336 is about 71647.9960361768. The cubic root of 5133435336 is about 1725.0540162039.

The spelling of 5133435336 in words is "five billion, one hundred thirty-three million, four hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 479 584 657 876 958 1314 1437 1752 1916 2039 2628 2874 3832 4078 4311 5256 5748 6117 8156 8622 11496 12234 16312 17244 18351 24468 34488 34967 36702 48936 69934 73404 104901 139868 146808 148847 209802 279736 297694 314703 419604 446541 595388 629406 839208 893082 976681 1190776 1258812 1339623 1786164 1953362 2517624 2679246 2930043 3572328 3906724 5358492 5860086 7813448 8790129 10716984 11720172 17580258 23440344 35160516 70321032 71297713 142595426 213893139 285190852 427786278 570381704 641679417 855572556 1283358834 1711145112 2566717668 5133435336