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200640539175696 = 243211803972
BaseRepresentation
bin101101100111101101000100…
…000100001010101100010000
3222022102001022011002121120100
4231213231010010022230100
5202244243311012110241
61550420554035012400
760155541413423244
oct5547550404125420
9868361264077510
10200640539175696
1158a261a1749634
121a60559273a100
1387c54248bc2c9
1437790a7d08424
15182e1c2de99b6
hexb67b4410ab10

200640539175696 has 45 divisors (see below), whose sum is σ = 561515317976821. Its totient is φ = 66880123066176.

The previous prime is 200640539175683. The next prime is 200640539175697. The reversal of 200640539175696 is 696571935046002.

The square root of 200640539175696 is 14164764.

It is a perfect power (a square), and thus also a powerful number.

200640539175696 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 0 + 53 + 9 + 17 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175867382250000 + 24773156925696 = 13261500^2 + 4977264^2 .

It is a super-3 number, since 3×2006405391756963 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200640539175697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 169386970 + ... + 170567366.

Almost surely, 2200640539175696 is an apocalyptic number.

200640539175696 is the 14164764-th square number.

It is an amenable number.

200640539175696 is an abundant number, since it is smaller than the sum of its proper divisors (360874778801125).

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

200640539175696 is an frugal number, since it uses more digits than its factorization.

200640539175696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360808 (or 1180402 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 200640539175696 in words is "two hundred trillion, six hundred forty billion, five hundred thirty-nine million, one hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1180397 2360794 3541191 4721588 7082382 9443176 10623573 14164764 18886352 21247146 28329528 42494292 56659056 84988584 169977168 1393337077609 2786674155218 4180011232827 5573348310436 8360022465654 11146696620872 12540033698481 16720044931308 22293393241744 25080067396962 33440089862616 50160134793924 66880179725232 100320269587848 200640539175696