Search a number
-
+
200996122847500 = 2254773748113903
BaseRepresentation
bin101101101100111000001110…
…100000001110100100001100
3222100200001010101111201200201
4231230320032200032210030
5202321110024422110000
61551252202155103244
760223330203651121
oct5554701640164414
9870601111451621
10200996122847500
1159052a82431182
121a66248aa41b24
13881cb12219036
14378c39b174748
15183858524996a
hexb6ce0e80e90c

200996122847500 has 120 divisors (see below), whose sum is σ = 440197424783424. Its totient is φ = 80277933120000.

The previous prime is 200996122847491. The next prime is 200996122847503. The reversal of 200996122847500 is 5748221699002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200996122847503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14457025549 + ... + 14457039451.

Almost surely, 2200996122847500 is an apocalyptic number.

200996122847500 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 200996122847500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220098712391712).

200996122847500 is an abundant number, since it is smaller than the sum of its proper divisors (239201301935924).

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

200996122847500 is a wasteful number, since it uses less digits than its factorization.

200996122847500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22181 (or 22164 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 200996122847500 in words is "two hundred trillion, nine hundred ninety-six billion, one hundred twenty-two million, eight hundred forty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 773 1250 1546 2500 3092 3865 7481 7730 13903 14962 15460 19325 27806 29924 37405 38650 55612 69515 74810 77300 96625 139030 149620 187025 193250 278060 347575 374050 386500 483125 695150 748100 935125 966250 1390300 1737875 1870250 1932500 3475750 3740500 4675625 5782813 6951500 8689375 9351250 10747019 11565626 17378750 18702500 21494038 23131252 28914065 34757500 42988076 53735095 57828130 104008343 107470190 115656260 144570325 208016686 214940380 268675475 289140650 416033372 520041715 537350950 578281300 722851625 1040083430 1074701900 1343377375 1445703250 2080166860 2600208575 2686754750 2891406500 3614258125 5200417150 5373509500 6716886875 7228516250 10400834300 13001042875 13433773750 14457032500 26002085750 26867547500 52004171500 65005214375 80398449139 130010428750 160796898278 260020857500 321593796556 401992245695 803984491390 1607968982780 2009961228475 4019922456950 8039844913900 10049806142375 20099612284750 40199224569500 50249030711875 100498061423750 200996122847500