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20200033504 = 257314170951
BaseRepresentation
bin10010110100000001…
…000000110011100000
31221010202221000122001
4102310001000303200
5312332202033004
613140232453344
71313401310650
oct226401006340
957122830561
1020200033504
118626435172
123ab8b4a254
131b9bc74261
14d98ab6360
157d35d01a4
hex4b4040ce0

20200033504 has 96 divisors (see below), whose sum is σ = 48061181952. Its totient is φ = 8173440000.

The previous prime is 20200033501. The next prime is 20200033507. The reversal of 20200033504 is 40533000202.

It is an interprime number because it is at equal distance from previous prime (20200033501) and next prime (20200033507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200033501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249229 + ... + 320179.

It is an arithmetic number, because the mean of its divisors is an integer number (500637312).

Almost surely, 220200033504 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 20200033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24030590976).

20200033504 is an abundant number, since it is smaller than the sum of its proper divisors (27861148448).

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

20200033504 is a wasteful number, since it uses less digits than its factorization.

20200033504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71040 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

Adding to 20200033504 its reverse (40533000202), we get a palindrome (60733033706).

The spelling of 20200033504 in words is "twenty billion, two hundred million, thirty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 82 112 124 164 217 224 248 287 328 434 496 574 656 868 992 1148 1271 1312 1736 2296 2542 3472 4592 5084 6944 8897 9184 10168 17794 20336 35588 40672 70951 71176 141902 142352 283804 284704 496657 567608 993314 1135216 1986628 2199481 2270432 2908991 3973256 4398962 5817982 7946512 8797924 11635964 15396367 15893024 17595848 20362937 23271928 30792734 35191696 40725874 46543856 61585468 70383392 81451748 90178721 93087712 123170936 162903496 180357442 246341872 325806992 360714884 492683744 631251047 651613984 721429768 1262502094 1442859536 2525004188 2885719072 5050008376 10100016752 20200033504