Search a number
-
+
268316817820 = 225193122777319
BaseRepresentation
bin1111100111100011101…
…1011011100110011100
3221122120110102121111021
43321320323123212130
513344003101132240
6323132452333524
725246066214662
oct3717073334634
9848513377437
10268316817820
11a3879937617
12440029142a4
131c3c0b2812c
14cdb534cc32
156ea5e0454a
hex3e78edb99c

268316817820 has 48 divisors (see below), whose sum is σ = 612254361600. Its totient is φ = 98398013760.

The previous prime is 268316817781. The next prime is 268316817829. The reversal of 268316817820 is 28718613862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268316817829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11376880 + ... + 11400439.

It is an arithmetic number, because the mean of its divisors is an integer number (12755299200).

Almost surely, 2268316817820 is an apocalyptic number.

268316817820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268316817820 is an abundant number, since it is smaller than the sum of its proper divisors (343937543780).

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

268316817820 is a wasteful number, since it uses less digits than its factorization.

268316817820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777378 (or 22777376 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 268316817820 in words is "two hundred sixty-eight billion, three hundred sixteen million, eight hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 11780 22777319 45554638 91109276 113886595 227773190 432769061 455546380 706096889 865538122 1412193778 1731076244 2163845305 2824387556 3530484445 4327690610 7060968890 8655381220 13415840891 14121937780 26831681782 53663363564 67079204455 134158408910 268316817820