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112245745104 = 24325925751407
BaseRepresentation
bin110100010001001011…
…1100010010111010000
3101201201121011122111200
41220202113202113100
53314334402320404
6123322011511200
711052361043163
oct1504227422720
9351647148450
10112245745104
114366a8846a9
1219906a58500
13a77a85706c
14560b56bada
152dbe34d839
hex1a225e25d0

112245745104 has 120 divisors (see below), whose sum is σ = 320705723520. Its totient is φ = 36637261824.

The previous prime is 112245745081. The next prime is 112245745109. The reversal of 112245745104 is 401547542211.

112245745104 is a `hidden beast` number, since 1 + 12 + 24 + 574 + 51 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112245745109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157769 + ... + 2209175.

It is an arithmetic number, because the mean of its divisors is an integer number (2672547696).

Almost surely, 2112245745104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112245745104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160352861760).

112245745104 is an abundant number, since it is smaller than the sum of its proper divisors (208459978416).

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

112245745104 is a wasteful number, since it uses less digits than its factorization.

112245745104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51737 (or 51728 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 112245745104 in words is "one hundred twelve billion, two hundred forty-five million, seven hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 257 354 472 514 531 708 771 944 1028 1062 1416 1542 2056 2124 2313 2832 3084 4112 4248 4626 6168 8496 9252 12336 15163 18504 30326 37008 45489 51407 60652 90978 102814 121304 136467 154221 181956 205628 242608 272934 308442 363912 411256 462663 545868 616884 727824 822512 925326 1091736 1233768 1850652 2183472 2467536 3033013 3701304 6066026 7402608 9099039 12132052 13211599 18198078 24264104 26423198 27297117 36396156 39634797 48528208 52846396 54594234 72792312 79269594 105692792 109188468 118904391 145584624 158539188 211385584 218376936 237808782 317078376 436753872 475617564 634156752 779484341 951235128 1558968682 1902470256 2338453023 3117937364 4676906046 6235874728 7015359069 9353812092 12471749456 14030718138 18707624184 28061436276 37415248368 56122872552 112245745104