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200845451136 = 27311211225349
BaseRepresentation
bin1011101100001101010…
…0100101111110000000
3201012102021011001102110
42323003110211332000
511242312413414021
6232133411015320
720340065111061
oct2730324457600
9635367131373
10200845451136
11781a6026150
1232b1289a540
1315c2a526b15
149a144bc568
1553577c8476
hex2ec3525f80

200845451136 has 128 divisors (see below), whose sum is σ = 584756208000. Its totient is φ = 60573542400.

The previous prime is 200845451111. The next prime is 200845451159. The reversal of 200845451136 is 631154548002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 200845451094 and 200845451103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778590 + ... + 1003938.

It is an arithmetic number, because the mean of its divisors is an integer number (4568407875).

Almost surely, 2200845451136 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 200845451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292378104000).

200845451136 is an abundant number, since it is smaller than the sum of its proper divisors (383910756864).

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

200845451136 is a wasteful number, since it uses less digits than its factorization.

200845451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225588 (or 225576 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 200845451136 its reverse (631154548002), we get a palindrome (831999999138).

The spelling of 200845451136 in words is "two hundred billion, eight hundred forty-five million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 211 264 352 384 422 528 633 704 844 1056 1266 1408 1688 2112 2321 2532 3376 4224 4642 5064 6752 6963 9284 10128 13504 13926 18568 20256 27008 27852 37136 40512 55704 74272 81024 111408 148544 222816 225349 297088 445632 450698 676047 891264 901396 1352094 1802792 2478839 2704188 3605584 4957678 5408376 7211168 7436517 9915356 10816752 14422336 14873034 19830712 21633504 28844672 29746068 39661424 43267008 47548639 59492136 79322848 86534016 95097278 118984272 142645917 158645696 190194556 237968544 285291834 317291392 380389112 475937088 523035029 570583668 760778224 951874176 1046070058 1141167336 1521556448 1569105087 2092140116 2282334672 3043112896 3138210174 4184280232 4564669344 6086225792 6276420348 8368560464 9129338688 12552840696 16737120928 18258677376 25105681392 33474241856 50211362784 66948483712 100422725568 200845451136