Search a number
-
+
200764730320 = 24571132591677
BaseRepresentation
bin1011101011111010000…
…0101010101111010000
3201012012122021000021121
42322332200222233100
511242131232332240
6232121404532024
720335065023320
oct2727640525720
9635178230247
10200764730320
1178164502430
1232aab851014
1315c168a361b
149a078a9280
15535068104a
hex2ebe82abd0

200764730320 has 80 divisors (see below), whose sum is σ = 581957002368. Its totient is φ = 62576017920.

The previous prime is 200764730303. The next prime is 200764730321. The reversal of 200764730320 is 23037467002.

It is a happy number.

200764730320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200764730321) 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, 16289679 + ... + 16301998.

Almost surely, 2200764730320 is an apocalyptic number.

200764730320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200764730320 is an abundant number, since it is smaller than the sum of its proper divisors (381192272048).

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

200764730320 is a wasteful number, since it uses less digits than its factorization.

200764730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32591708 (or 32591702 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 200764730320 in words is "two hundred billion, seven hundred sixty-four million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 32591677 65183354 130366708 162958385 228141739 260733416 325916770 358508447 456283478 521466832 651833540 717016894 912566956 1140708695 1303667080 1434033788 1792542235 1825133912 2281417390 2509559129 2607334160 2868067576 3585084470 3650267824 4562834780 5019118258 5736135152 7170168940 9125669560 10038236516 12547795645 14340337880 18251339120 20076473032 25095591290 28680675760 40152946064 50191182580 100382365160 200764730320