Search a number
-
+
112830472553634 = 2321117149924419161
BaseRepresentation
bin11001101001111001100100…
…001111001000010010100010
3112210111111011122000111011100
4121221321210033020102202
5104242103301433204014
61035545334205455230
732523506202331113
oct3151714417102242
9483444148014140
10112830472553634
1132a511532aa2a0
12107a3374b71516
134ac5b38a3c804
141dc1049c5020a
15d09ea5d52009
hex669e643c84a2

112830472553634 has 192 divisors, whose sum is σ = 282712860144000. Its totient is φ = 32141663232000.

The previous prime is 112830472553633. The next prime is 112830472553671. The reversal of 112830472553634 is 436355274038211.

112830472553634 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 0 + 4 + 72 + 5 + 536 + 34 = 666.

It is not an unprimeable number, because it can be changed into a prime (112830472553633) 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, 12316388014 + ... + 12316397174.

It is an arithmetic number, because the mean of its divisors is an integer number (1472462813250).

Almost surely, 2112830472553634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112830472553634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141356430072000).

112830472553634 is an abundant number, since it is smaller than the sum of its proper divisors (169882387590366).

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

112830472553634 is a wasteful number, since it uses less digits than its factorization.

112830472553634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 112830472553634 in words is "one hundred twelve trillion, eight hundred thirty billion, four hundred seventy-two million, five hundred fifty-three thousand, six hundred thirty-four".