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201063768 = 23331535099
BaseRepresentation
bin10111111101111…
…11110101011000
3112000100002122020
423332333311120
5402433020033
631541254440
74661004513
oct1376776530
9460302566
10201063768
11a354a204
1257404420
133286a559
141c9bbd7a
15129b96b3
hexbfbfd58

201063768 has 64 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 63623040.

The previous prime is 201063761. The next prime is 201063773. The reversal of 201063768 is 867360102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201063761) 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, 36883 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2201063768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201063768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

201063768 is an abundant number, since it is smaller than the sum of its proper divisors (327704232).

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

201063768 is a wasteful number, since it uses less digits than its factorization.

201063768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 201063768 is about 14179.6956243778. The cubic root of 201063768 is about 585.8385403193.

The spelling of 201063768 in words is "two hundred one million, sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 3286 4929 5099 6572 9858 10198 13144 15297 19716 20396 30594 39432 40792 61188 122376 158069 270247 316138 474207 540494 632276 810741 948414 1080988 1264552 1621482 1896828 2161976 3242964 3793656 6485928 8377657 16755314 25132971 33510628 50265942 67021256 100531884 201063768