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200638981054681 = 132192573472
BaseRepresentation
bin101101100111101011100111…
…001100011010000011011001
3222022101220021120012212100121
4231213223213030122003121
5202244232113122222211
61550420135255033241
760155454663545341
oct5547534714320331
9868356246185317
10200638981054681
1158a25572181214
121a60521896b821
1387c5236b5a400
143778d9add5d21
15182e13121e271
hexb67ae731a0d9

200638981054681 has 27 divisors (see below), whose sum is σ = 229300523185311. Its totient is φ = 175454510899824.

The previous prime is 200638981054657. The next prime is 200638981054693. The reversal of 200638981054681 is 186450189836002.

The square root of 200638981054681 is 14164709.

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

It can be written as a sum of positive squares in only one way, i.e., 29680322641225 + 170958658413456 = 5447965^2 + 13075116^2 .

It is not a de Polignac number, because 200638981054681 - 225 = 200638947500249 is a prime.

It is a super-2 number, since 2×2006389810546812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200638981051681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3498654450 + ... + 3498711796.

Almost surely, 2200638981054681 is an apocalyptic number.

200638981054681 is the 14164709-th square number.

200638981054681 is the 7082355-th centered octagonal number.

It is an amenable number.

200638981054681 is a deficient number, since it is larger than the sum of its proper divisors (28661542130630).

200638981054681 is an frugal number, since it uses more digits than its factorization.

200638981054681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114758 (or 57379 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 200638981054681 in words is "two hundred trillion, six hundred thirty-eight billion, nine hundred eighty-one million, fifty-four thousand, six hundred eighty-one".

Divisors: 1 13 19 169 247 361 3211 4693 57347 61009 745511 1089593 9691643 14164709 20702267 184141217 269129471 3288678409 3498683123 42752819317 62484889771 555786651121 812303567023 1187212905649 10559946371299 15433767773437 200638981054681