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111442417077664 = 2511321413076097
BaseRepresentation
bin11001010101101100110101…
…101011101100110110100000
3112121120210100122202101022101
4121111230311223230312200
5104101333032232441124
61033003534543420144
732321306661422221
oct3125546553546640
9477523318671271
10111442417077664
1132566511162772
12105ba353bb4654
134a24c8994574a
141d73badb41248
15cd3d16655644
hex655b35aecda0

111442417077664 has 24 divisors (see below), whose sum is σ = 219402523740708. Its totient is φ = 55721141207040.

The previous prime is 111442417077659. The next prime is 111442417077701. The reversal of 111442417077664 is 466770714244111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109883644851600 + 1558772226064 = 10482540^2 + 1248508^2 .

It is a super-2 number, since 2×1114424170776642 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34690464 + ... + 37766560.

Almost surely, 2111442417077664 is an apocalyptic number.

It is an amenable number.

111442417077664 is a deficient number, since it is larger than the sum of its proper divisors (107960106663044).

111442417077664 is a wasteful number, since it uses less digits than its factorization.

111442417077664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208248 (or 4208240 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 111442417077664 in words is "one hundred eleven trillion, four hundred forty-two billion, four hundred seventeen million, seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 1132141 2264282 3076097 4528564 6152194 9057128 12304388 18114256 24608776 36228512 49217552 98435104 3482575533677 6965151067354 13930302134708 27860604269416 55721208538832 111442417077664