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113126613649 = 72480492
BaseRepresentation
bin110100101011011011…
…1110010001010010001
3101210222222200101222121
41221112313302022101
53323140403114044
6123545235534241
711113245231100
oct1512667621221
9353888611877
10113126613649
1143a8202a235
1219b11a5a381
13a88b1b275a
145692548037
152e2184b984
hex1a56df2291

113126613649 has 9 divisors (see below), whose sum is σ = 131599003707. Its totient is φ = 96963650784.

The previous prime is 113126613623. The next prime is 113126613661. The reversal of 113126613649 is 946316621311.

The square root of 113126613649 is 336343.

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., 8539053649 + 104587560000 = 92407^2 + 323400^2 .

It is not a de Polignac number, because 113126613649 - 29 = 113126613137 is a prime.

It is a super-2 number, since 2×1131266136492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113126613349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2330377 + ... + 2378425.

It is an arithmetic number, because the mean of its divisors is an integer number (14622111523).

Almost surely, 2113126613649 is an apocalyptic number.

113126613649 is the 336343-rd square number.

113126613649 is the 168172-nd centered octagonal number.

It is an amenable number.

113126613649 is a deficient number, since it is larger than the sum of its proper divisors (18472390058).

113126613649 is an frugal number, since it uses more digits than its factorization.

113126613649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96112 (or 48056 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The spelling of 113126613649 in words is "one hundred thirteen billion, one hundred twenty-six million, six hundred thirteen thousand, six hundred forty-nine".

Divisors: 1 7 49 48049 336343 2354401 2308706401 16160944807 113126613649