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200780836680 = 233530717533109
BaseRepresentation
bin1011101011111101111…
…0000110111101001000
3201012020202120022001110
42322333132012331020
511242144343233210
6232123142050320
720335351644534
oct2727736067510
9635222508043
10200780836680
1178172603376
1232ab51199a0
1315c1a022708
149a09a9cbc4
155351cb3420
hex2ebf786f48

200780836680 has 128 divisors (see below), whose sum is σ = 604843747200. Its totient is φ = 53319555072.

The previous prime is 200780836661. The next prime is 200780836681. The reversal of 200780836680 is 86638087002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200780836681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64578966 + ... + 64582074.

It is an arithmetic number, because the mean of its divisors is an integer number (4725341775).

Almost surely, 2200780836680 is an apocalyptic number.

200780836680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200780836680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302421873600).

200780836680 is an abundant number, since it is smaller than the sum of its proper divisors (404062910520).

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

200780836680 is a wasteful number, since it uses less digits than its factorization.

200780836680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 200780836680 in words is "two hundred billion, seven hundred eighty million, eight hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1753 1842 2456 3070 3109 3506 3684 4605 5259 6140 6218 7012 7368 8765 9210 9327 10518 12280 12436 14024 15545 17530 18420 18654 21036 24872 26295 31090 35060 36840 37308 42072 46635 52590 62180 70120 74616 93270 105180 124360 186540 210360 373080 538171 954463 1076342 1614513 1908926 2152684 2690855 2863389 3229026 3817852 4305368 4772315 5381710 5450077 5726778 6458052 7635704 8072565 9544630 10763420 10900154 11453556 12916104 14316945 16145130 16350231 19089260 21526840 21800308 22907112 27250385 28633890 32290260 32700462 38178520 43600616 54500770 57267780 64580520 65400924 81751155 109001540 114535560 130801848 163502310 218003080 327004620 654009240 1673173639 3346347278 5019520917 6692694556 8365868195 10039041834 13385389112 16731736390 20078083668 25097604585 33463472780 40156167336 50195209170 66926945560 100390418340 200780836680