Search a number
-
+
800319708252 = 2233191189732783
BaseRepresentation
bin10111010010101101100…
…01011001110001011100
32211111202122201121021000
423221112301121301130
5101103023321131002
61411354540510300
7111551445164031
oct13512661316134
92744678647230
10800319708252
1128946067a299
1210b13554b390
135a615287b5c
142aa429c9388
1515c413e561c
hexba56c59c5c

800319708252 has 96 divisors (see below), whose sum is σ = 2184358579200. Its totient is φ = 252703587456.

The previous prime is 800319708229. The next prime is 800319708263. The reversal of 800319708252 is 252807913008.

It is a happy number.

800319708252 is a `hidden beast` number, since 80 + 0 + 319 + 7 + 0 + 8 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 800319708198 and 800319708207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24396253 + ... + 24429035.

It is an arithmetic number, because the mean of its divisors is an integer number (22753735200).

Almost surely, 2800319708252 is an apocalyptic number.

It is an amenable number.

800319708252 is an abundant number, since it is smaller than the sum of its proper divisors (1384038870948).

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

800319708252 is a wasteful number, since it uses less digits than its factorization.

800319708252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44712 (or 44704 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 800319708252 in words is "eight hundred billion, three hundred nineteen million, seven hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 11897 23794 32783 35691 47588 65566 71382 98349 107073 131132 142764 196698 214146 226043 295047 321219 393396 428292 452086 590094 622877 642438 678129 885141 904172 1180188 1245754 1284876 1356258 1770282 1868631 2034387 2491508 2712516 3540564 3737262 4068774 5605893 6103161 7474524 8137548 11211786 12206322 16817679 22423572 24412644 33635358 67270716 390019351 780038702 1170058053 1560077404 2340116106 3510174159 4680232212 7020348318 7410367669 10530522477 14040696636 14820735338 21061044954 22231103007 29641470676 42122089908 44462206014 66693309021 88924412028 133386618042 200079927063 266773236084 400159854126 800319708252