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5035642992 = 243418121467
BaseRepresentation
bin1001011000010010…
…11101000001110000
3110222221110011120000
410230021131001300
540303111033432
62151403150000
7235534154622
oct45411350160
913887404500
105035642992
112154542126
12b86515300
1362335b213
1435aadcc12
151e714757c
hex12c25d070

5035642992 has 100 divisors (see below), whose sum is σ = 14655817176. Its totient is φ = 1669196160.

The previous prime is 5035642987. The next prime is 5035643009. The reversal of 5035642992 is 2992465305.

5035642992 is a `hidden beast` number, since 5 + 0 + 356 + 4 + 299 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 223843 + ... + 245309.

Almost surely, 25035642992 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 5035642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327908588).

5035642992 is an abundant number, since it is smaller than the sum of its proper divisors (9620174184).

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

5035642992 is a wasteful number, since it uses less digits than its factorization.

5035642992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668 (or 21653 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5035642992 is about 70962.2645636397. The cubic root of 5035642992 is about 1714.0295735877.

The spelling of 5035642992 in words is "five billion, thirty-five million, six hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 181 216 324 362 432 543 648 724 1086 1296 1448 1629 2172 2896 3258 4344 4887 6516 8688 9774 13032 14661 19548 21467 26064 29322 39096 42934 58644 64401 78192 85868 117288 128802 171736 193203 234576 257604 343472 386406 515208 579609 772812 1030416 1159218 1545624 1738827 2318436 3091248 3477654 3885527 4636872 6955308 7771054 9273744 11656581 13910616 15542108 23313162 27821232 31084216 34969743 46626324 62168432 69939486 93252648 104909229 139878972 186505296 209818458 279757944 314727687 419636916 559515888 629455374 839273832 1258910748 1678547664 2517821496 5035642992