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243837452401 = 1723129372
BaseRepresentation
bin1110001100010111011…
…0000100000001110001
3212022101110012000001121
43203011312010001301
512443334341434101
6304003430502241
723421343101454
oct3430566040161
9768343160047
10243837452401
1194457981004
123b310804981
1319cbc41cc1a
14bb321ad49b
156521cc40a1
hex38c5d84071

243837452401 has 27 divisors (see below), whose sum is σ = 267935677857. Its totient is φ = 221854014720.

The previous prime is 243837452399. The next prime is 243837452477. The reversal of 243837452401 is 104254738342.

The square root of 243837452401 is 493799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15926692401 + 227910760000 = 126201^2 + 477400^2 .

It is not a de Polignac number, because 243837452401 - 21 = 243837452399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (243837452101) 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, 260231605 + ... + 260232541.

Almost surely, 2243837452401 is an apocalyptic number.

243837452401 is the 493799-th square number.

243837452401 is the 246900-th centered octagonal number.

It is an amenable number.

243837452401 is a deficient number, since it is larger than the sum of its proper divisors (24098225456).

243837452401 is an frugal number, since it uses more digits than its factorization.

243837452401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 243837452401 in words is "two hundred forty-three billion, eight hundred thirty-seven million, four hundred fifty-two thousand, four hundred one".

Divisors: 1 17 31 289 527 937 961 8959 15929 16337 29047 270793 277729 493799 877969 900457 8394583 14925473 15307769 27217039 253733041 260232073 462689663 843728209 7865724271 14343379553 243837452401