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2093163687729 = 341607532
BaseRepresentation
bin11110011101011010010…
…001110010111100110001
321102002211011202112210000
4132131122101302330301
5233243244401001404
64241330334100213
7304140355533012
oct36353221627461
97362734675700
102093163687729
11737784373334
1229980434a669
131224cc95000a
1473449a03009
15396abe83339
hex1e75a472f31

2093163687729 has 15 divisors (see below), whose sum is σ = 3126844219323. Its totient is φ = 1395433777824.

The previous prime is 2093163687721. The next prime is 2093163687751. The reversal of 2093163687729 is 9277863613902.

The square root of 2093163687729 is 1446777.

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

2093163687729 is a `hidden beast` number, since 209 + 316 + 36 + 87 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228431423025 + 1864732264704 = 477945^2 + 1365552^2 .

It is not a de Polignac number, because 2093163687729 - 23 = 2093163687721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2093163687721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12940617 + ... + 13101369.

Almost surely, 22093163687729 is an apocalyptic number.

2093163687729 is the 1446777-th square number.

2093163687729 is the 723389-th centered octagonal number.

It is an amenable number.

2093163687729 is a deficient number, since it is larger than the sum of its proper divisors (1033680531594).

2093163687729 is an frugal number, since it uses more digits than its factorization.

2093163687729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321518 (or 160756 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2093163687729 in words is "two trillion, ninety-three billion, one hundred sixty-three million, six hundred eighty-seven thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 160753 482259 1446777 4340331 13020993 25841527009 77524581027 232573743081 697721229243 2093163687729