Search a number
-
+
200201245250544 = 243229413311599543
BaseRepresentation
bin101101100001010011111100…
…000110110101001111110000
3222020212001102000002000200100
4231201103330012311033300
5202220044122241004134
61545443103221352400
760112030326603546
oct5541237406651760
9866761360060610
10200201245250544
115887696478772a
121a554413b68700
138792b86586ba5
143761b13253d96
151822a619db999
hexb614fc1b53f0

200201245250544 has 120 divisors (see below), whose sum is σ = 579745905092640. Its totient is φ = 64416989339136.

The previous prime is 200201245250537. The next prime is 200201245250579. The reversal of 200201245250544 is 445052542102002.

200201245250544 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 12 + 4 + 52 + 50 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200201245250499 and 200201245250508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11459637 + ... + 23059179.

It is an arithmetic number, because the mean of its divisors is an integer number (4831215875772).

Almost surely, 2200201245250544 is an apocalyptic number.

200201245250544 is a gapful number since it is divisible by the number (24) 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 200201245250544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289872952546320).

200201245250544 is an abundant number, since it is smaller than the sum of its proper divisors (379544659842096).

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

200201245250544 is a wasteful number, since it uses less digits than its factorization.

200201245250544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603719 (or 11603710 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 200201245250544 its reverse (445052542102002), we get a palindrome (645253787352546).

The spelling of 200201245250544 in words is "two hundred trillion, two hundred one billion, two hundred forty-five million, two hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4133 4176 8266 12399 16532 24798 33064 37197 49596 66128 74394 99192 119857 148788 198384 239714 297576 359571 479428 595152 719142 958856 1078713 1438284 1917712 2157426 2876568 4314852 5753136 8629704 11599543 17259408 23199086 34798629 46398172 69597258 92796344 104395887 139194516 185592688 208791774 278389032 336386747 417583548 556778064 672773494 835167096 1009160241 1345546988 1670334192 2018320482 2691093976 3027480723 4036640964 5382187952 6054961446 8073281928 12109922892 16146563856 24219845784 47940911219 48439691568 95881822438 143822733657 191763644876 287645467314 383527289752 431468200971 575290934628 767054579504 862936401942 1150581869256 1390286425351 1725872803884 2301163738512 2780572850702 3451745607768 4170859276053 5561145701404 6903491215536 8341718552106 11122291402808 12512577828159 16683437104212 22244582805616 25025155656318 33366874208424 50050311312636 66733748416848 100100622625272 200201245250544