Search a number
-
+
112048693812 = 22321117371094127
BaseRepresentation
bin110100001011010011…
…1110110001000110100
3101201012212101101221200
41220112213312020310
53313433431200222
6123250252212500
711044446116466
oct1502647661064
9351185341850
10112048693812
11435796260a0
1219870a6a130
13a748a92c73
1455cd316136
152dabdc7eac
hex1a169f6234

112048693812 has 288 divisors, whose sum is σ = 339165066240. Its totient is φ = 30800424960.

The previous prime is 112048693753. The next prime is 112048693859. The reversal of 112048693812 is 218396840211.

112048693812 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 486 + 93 + 81 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27148093 + ... + 27152219.

It is an arithmetic number, because the mean of its divisors is an integer number (1177656480).

Almost surely, 2112048693812 is an apocalyptic number.

112048693812 is a gapful number since it is divisible by the number (12) 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 112048693812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169582533120).

112048693812 is an abundant number, since it is smaller than the sum of its proper divisors (227116372428).

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

112048693812 is a wasteful number, since it uses less digits than its factorization.

112048693812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 112048693812 in words is "one hundred twelve billion, forty-eight million, six hundred ninety-three thousand, eight hundred twelve".