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112358036736 = 28351132359
BaseRepresentation
bin110100010100100001…
…1111001010100000000
3101202000102110122200000
41220221003321110000
53320102124133421
6123341102400000
711055223361061
oct1505103712400
9352012418600
10112358036736
1143718201000
1219938590000
13a797bb250a
14561c43c568
152dc9130226
hex1a290f9500

112358036736 has 864 divisors, whose sum is σ = 392126192640. Its totient is φ = 32015554560.

The previous prime is 112358036729. The next prime is 112358036737. The reversal of 112358036736 is 637630853211.

112358036736 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 580 + 3 + 67 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 112358036691 and 112358036700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112358036737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1904373475 + ... + 1904373533.

It is an arithmetic number, because the mean of its divisors is an integer number (453849760).

Almost surely, 2112358036736 is an apocalyptic number.

112358036736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112358036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196063096320).

112358036736 is an abundant number, since it is smaller than the sum of its proper divisors (279768155904).

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

112358036736 is an frugal number, since it uses more digits than its factorization.

112358036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 112358036736 its reverse (637630853211), we get a palindrome (749988889947).

The spelling of 112358036736 in words is "one hundred twelve billion, three hundred fifty-eight million, thirty-six thousand, seven hundred thirty-six".