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112797237609 = 367217772
BaseRepresentation
bin110100100001100111…
…1010100000101101001
3101210011000220101000000
41221003033110011221
53322002043100414
6123452432133213
711102135462100
oct1510317240551
9353130811000
10112797237609
1143923111131
1219a3b697209
13a837b9a9a4
1456608c9037
152e02988b09
hex1a433d4169

112797237609 has 63 divisors (see below), whose sum is σ = 196840445607. Its totient is φ = 64419292224.

The previous prime is 112797237601. The next prime is 112797237611. The reversal of 112797237609 is 906732797211.

The square root of 112797237609 is 335853.

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

112797237609 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 7 + 23 + 7 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57161637225 + 55635600384 = 239085^2 + 235872^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 112797237609 - 23 = 112797237601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112797237601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 63475329 + ... + 63477105.

Almost surely, 2112797237609 is an apocalyptic number.

112797237609 is the 335853-rd square number.

112797237609 is the 167927-th centered octagonal number.

It is an amenable number.

112797237609 is a deficient number, since it is larger than the sum of its proper divisors (84043207998).

112797237609 is an frugal number, since it uses more digits than its factorization.

112797237609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 112797237609 in words is "one hundred twelve billion, seven hundred ninety-seven million, two hundred thirty-seven thousand, six hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 1777 3969 5103 5331 11907 12439 15993 35721 37317 47979 87073 111951 143937 261219 335853 431811 783657 1007559 1295433 2350971 3022677 3157729 7052913 9068031 9473187 21158739 22104103 28419561 63476217 66312309 85258683 154728721 198936927 255776049 464186163 596810781 767328147 1392558489 1790432343 2301984441 4177675467 5371297029 12533026401 16113891087 37599079203 112797237609