Search a number
-
+
5006556600 = 2335211537237
BaseRepresentation
bin1001010100110100…
…11111110110111000
3110220220201102112020
410222122133312320
540223134302400
62144443514440
7235032012633
oct45232376670
913826642466
105006556600
11213a086091
12b78828a20
1361a316036
14356ccac1a
151e47ee2a0
hex12a69fdb8

5006556600 has 96 divisors (see below), whose sum is σ = 15535932720. Its totient is φ = 1333739520.

The previous prime is 5006556571. The next prime is 5006556613. The reversal of 5006556600 is 66556005.

It is a congruent number.

It is an unprimeable number.

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, 688182 + ... + 695418.

Almost surely, 25006556600 is an apocalyptic number.

5006556600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006556600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767966360).

5006556600 is an abundant number, since it is smaller than the sum of its proper divisors (10529376120).

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

5006556600 is a wasteful number, since it uses less digits than its factorization.

5006556600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5006556600 is about 70757.0250929192. The cubic root of 5006556600 is about 1710.7230620888.

The spelling of 5006556600 in words is "five billion, six million, five hundred fifty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1153 2306 3459 4612 5765 6918 7237 9224 11530 13836 14474 17295 21711 23060 27672 28825 28948 34590 36185 43422 46120 57650 57896 69180 72370 86475 86844 108555 115300 138360 144740 172950 173688 180925 217110 230600 289480 345900 361850 434220 542775 691800 723700 868440 1085550 1447400 2171100 4342200 8344261 16688522 25032783 33377044 41721305 50065566 66754088 83442610 100131132 125163915 166885220 200262264 208606525 250327830 333770440 417213050 500655660 625819575 834426100 1001311320 1251639150 1668852200 2503278300 5006556600