Search a number
-
+
200769583344 = 243111920012917
BaseRepresentation
bin1011101011111011001…
…1001011100011110000
3201012012222101120101020
42322332303023203300
511242134003131334
6232122100535440
720335154205141
oct2727663134360
9635188346336
10200769583344
11781672175a0
1232ab13b1580
1315c178b2535
149a083adac8
155350cdde49
hex2ebeccb8f0

200769583344 has 80 divisors (see below), whose sum is σ = 595584439680. Its totient is φ = 57637198080.

The previous prime is 200769583327. The next prime is 200769583411. The reversal of 200769583344 is 443385967002.

200769583344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2007695833442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9996427 + ... + 10016490.

It is an arithmetic number, because the mean of its divisors is an integer number (7444805496).

Almost surely, 2200769583344 is an apocalyptic number.

200769583344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200769583344 is an abundant number, since it is smaller than the sum of its proper divisors (394814856336).

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

200769583344 is a wasteful number, since it uses less digits than its factorization.

200769583344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20012958 (or 20012952 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 200769583344 in words is "two hundred billion, seven hundred sixty-nine million, five hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 20012917 40025834 60038751 80051668 120077502 160103336 220142087 240155004 320206672 380245423 440284174 480310008 660426261 760490846 880568348 960620016 1140736269 1320852522 1520981692 1761136696 2281472538 2641705044 3041963384 3522273392 4182699653 4562945076 5283410088 6083926768 8365399306 9125890152 10566820176 12548098959 16730798612 18251780304 25096197918 33461597224 50192395836 66923194448 100384791672 200769583344