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112360580406 = 2337129306359
BaseRepresentation
bin110100010100100110…
…1100110010100110110
3101202000121020212221000
41220221031212110312
53320103302033111
6123341233104130
711055254114034
oct1505115462466
9352017225830
10112360580406
1143719689108
12199393b8046
13a798593249
14561c901554
152dc9483c56
hex1a29366536

112360580406 has 32 divisors (see below), whose sum is σ = 253206950400. Its totient is φ = 36926011080.

The previous prime is 112360580393. The next prime is 112360580413. The reversal of 112360580406 is 604085063211.

It is a happy number.

112360580406 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 605 + 8 + 0 + 40 + 6 = 666.

It is a super-2 number, since 2×1123605804062 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14649346 + ... + 14657013.

It is an arithmetic number, because the mean of its divisors is an integer number (7912717200).

Almost surely, 2112360580406 is an apocalyptic number.

112360580406 is an abundant number, since it is smaller than the sum of its proper divisors (140846369994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112360580406 is a wasteful number, since it uses less digits than its factorization.

112360580406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29306441 (or 29306435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112360580406 in words is "one hundred twelve billion, three hundred sixty million, five hundred eighty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 29306359 58612718 87919077 175838154 263757231 527514462 791271693 1582543386 2080751489 4161502978 6242254467 12484508934 18726763401 37453526802 56180290203 112360580406