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5033345436 = 2232770128493
BaseRepresentation
bin1001011000000001…
…01100000110011100
3110222210010102220100
410230000230012130
540302014023221
62151242021100
7235505505330
oct45400540634
913883112810
105033345436
112153212a19
12b857a7790
13622a35512
1435a6a17c0
151e6d41926
hex12c02c19c

5033345436 has 72 divisors (see below), whose sum is σ = 14562029664. Its totient is φ = 1435996800.

The previous prime is 5033345417. The next prime is 5033345467. The reversal of 5033345436 is 6345433305.

5033345436 is a `hidden beast` number, since 50 + 33 + 34 + 543 + 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 5033345436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162406 + ... + 190898.

It is an arithmetic number, because the mean of its divisors is an integer number (202250412).

Almost surely, 25033345436 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 5033345436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281014832).

5033345436 is an abundant number, since it is smaller than the sum of its proper divisors (9528684228).

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

5033345436 is a wasteful number, since it uses less digits than its factorization.

5033345436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29211 (or 29206 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 5033345436 is about 70946.0741408572. The cubic root of 5033345436 is about 1713.7688536216.

The spelling of 5033345436 in words is "five billion, thirty-three million, three hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1402 2103 2804 4206 4907 6309 8412 9814 12618 14721 19628 25236 28493 29442 44163 56986 58884 85479 88326 113972 170958 176652 199451 256437 341916 398902 512874 598353 797804 1025748 1196706 1795059 2393412 3590118 7180236 19973593 39947186 59920779 79894372 119841558 139815151 179762337 239683116 279630302 359524674 419445453 559260604 719049348 838890906 1258336359 1677781812 2516672718 5033345436