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210520745568 = 25327104424973
BaseRepresentation
bin1100010000010000000…
…0111010011001100000
3202010101112220221020200
43010010000322121200
511422121302324233
6240413434105200
721131620545420
oct3040400723140
9663345827220
10210520745568
1181310522051
1234972b7b200
1316b0cb76303
14a29147a480
155721de7313
hex310403a660

210520745568 has 72 divisors (see below), whose sum is σ = 684192429648. Its totient is φ = 60148783872.

The previous prime is 210520745563. The next prime is 210520745569. The reversal of 210520745568 is 865547025012.

210520745568 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 20 + 74 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210520745563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52210471 + ... + 52214502.

It is an arithmetic number, because the mean of its divisors is an integer number (9502672634).

Almost surely, 2210520745568 is an apocalyptic number.

210520745568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

210520745568 is an abundant number, since it is smaller than the sum of its proper divisors (473671684080).

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

210520745568 is a wasteful number, since it uses less digits than its factorization.

210520745568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104424996 (or 104424985 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 210520745568 in words is "two hundred ten billion, five hundred twenty million, seven hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 104424973 208849946 313274919 417699892 626549838 730974811 835399784 939824757 1253099676 1461949622 1670799568 1879649514 2192924433 2506199352 2923899244 3341599136 3759299028 4385848866 5012398704 5847798488 6578773299 7518598056 8771697732 10024797408 11695596976 13157546598 15037196112 17543395464 23391193952 26315093196 30074392224 35086790928 52630186392 70173581856 105260372784 210520745568