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5133815136 = 2532167173617
BaseRepresentation
bin1001100011111111…
…11100110101100000
3111020210011211102100
410301333330311200
541003224041021
62205231250400
7241135465032
oct46177746540
914223154370
105133815136
1121a49a532a
12bb3379a00
1363a7b1a48
14369b75c52
15200a8a626
hex131ffcd60

5133815136 has 144 divisors (see below), whose sum is σ = 14795542944. Its totient is φ = 1688451072.

The previous prime is 5133815131. The next prime is 5133815177. The reversal of 5133815136 is 6315183315.

5133815136 is a `hidden beast` number, since 5 + 133 + 8 + 1 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 5133815136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133815131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8320300 + ... + 8320916.

It is an arithmetic number, because the mean of its divisors is an integer number (102746826).

Almost surely, 25133815136 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 5133815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397771472).

5133815136 is an abundant number, since it is smaller than the sum of its proper divisors (9661727808).

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

5133815136 is a wasteful number, since it uses less digits than its factorization.

5133815136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5133815136 is about 71650.6464450950. The cubic root of 5133815136 is about 1725.0965581741.

The spelling of 5133815136 in words is "five billion, one hundred thirty-three million, eight hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 173 288 334 346 501 519 617 668 692 1002 1038 1234 1336 1384 1503 1557 1851 2004 2076 2468 2672 2768 3006 3114 3702 4008 4152 4936 5344 5536 5553 6012 6228 7404 8016 8304 9872 11106 12024 12456 14808 16032 16608 19744 22212 24048 24912 28891 29616 44424 48096 49824 57782 59232 86673 88848 103039 106741 115564 173346 177696 206078 213482 231128 260019 309117 320223 346692 412156 426964 462256 520038 618234 640446 693384 824312 853928 924512 927351 960669 1040076 1236468 1280892 1386768 1648624 1707856 1854702 1921338 2080152 2472936 2561784 2773536 3297248 3415712 3709404 3842676 4160304 4945872 5123568 7418808 7685352 8320608 9891744 10247136 14837616 15370704 17825747 29675232 30741408 35651494 53477241 71302988 106954482 142605976 160431723 213908964 285211952 320863446 427817928 570423904 641726892 855635856 1283453784 1711271712 2566907568 5133815136