Search a number
-
+
205027130784 = 2537305099897
BaseRepresentation
bin1011111011110010010…
…0011011110110100000
3201121012200201101111110
42332330210123312200
511324343421141114
6234104350543320
720545522566660
oct2767444336640
9647180641443
10205027130784
1179a51519a43
123389b207b40
1316445989a88
149ccda061a0
1554ee989759
hex2fbc91bda0

205027130784 has 48 divisors (see below), whose sum is σ = 615081394368. Its totient is φ = 58579180032.

The previous prime is 205027130767. The next prime is 205027130797. The reversal of 205027130784 is 487031720502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2050271307842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152549277 + ... + 152550620.

It is an arithmetic number, because the mean of its divisors is an integer number (12814195716).

Almost surely, 2205027130784 is an apocalyptic number.

205027130784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205027130784 is an abundant number, since it is smaller than the sum of its proper divisors (410054263584).

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

205027130784 is a wasteful number, since it uses less digits than its factorization.

205027130784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305099917 (or 305099909 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 205027130784 in words is "two hundred five billion, twenty-seven million, one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 305099897 610199794 915299691 1220399588 1830599382 2135699279 2440799176 3661198764 4271398558 4881598352 6407097837 7322397528 8542797116 9763196704 12814195674 14644795056 17085594232 25628391348 29289590112 34171188464 51256782696 68342376928 102513565392 205027130784