Search a number
-
+
112197949933752 = 23331621320441057
BaseRepresentation
bin11001100000101100011110…
…111100110100100010111000
3112201021000112001010011101000
4121200230132330310202320
5104201222400140340002
61034343005430525000
732430014535635244
oct3140543674644270
9481230461104330
10112197949933752
113282797981a051
121070086a506760
134a7b2b51cb037
141d9c5a4503424
15ce87d5bb261c
hex660b1ef348b8

112197949933752 has 64 divisors (see below), whose sum is σ = 311853237645600. Its totient is φ = 37376244771840.

The previous prime is 112197949933669. The next prime is 112197949933753. The reversal of 112197949933752 is 257339949791211.

112197949933752 is a `hidden beast` number, since 1 + 1 + 2 + 19 + 79 + 499 + 3 + 3 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112197949933753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159870393 + ... + 160570664.

Almost surely, 2112197949933752 is an apocalyptic number.

112197949933752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112197949933752 is an abundant number, since it is smaller than the sum of its proper divisors (199655287711848).

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

112197949933752 is a wasteful number, since it uses less digits than its factorization.

112197949933752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320442693 (or 320442683 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 72.

The spelling of 112197949933752 in words is "one hundred twelve trillion, one hundred ninety-seven billion, nine hundred forty-nine million, nine hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1621 3242 4863 6484 9726 12968 14589 19452 29178 38904 43767 58356 87534 116712 175068 350136 320441057 640882114 961323171 1281764228 1922646342 2563528456 2883969513 3845292684 5767939026 7690585368 8651908539 11535878052 17303817078 23071756104 34607634156 69215268312 519434953397 1038869906794 1558304860191 2077739813588 3116609720382 4155479627176 4674914580573 6233219440764 9349829161146 12466438881528 14024743741719 18699658322292 28049487483438 37399316644584 56098974966876 112197949933752