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112204130672256 = 273755217560697
BaseRepresentation
bin11001100000110010001111…
…010110011101111010000000
3112201021121110210021012122220
4121200302033112131322000
5104201323024423003011
61034345511021331040
732430323646226110
oct3140621726357200
9481247423235586
10112204130672256
113282a5606773a7
1210701ab4406a80
134a7ba5b868b5c
141d9c9cd31d040
15ce8a485ec506
hex660c8f59de80

112204130672256 has 128 divisors (see below), whose sum is σ = 340681422744960. Its totient is φ = 32052512194560.

The previous prime is 112204130672219. The next prime is 112204130672279. The reversal of 112204130672256 is 652276031402211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11060100 + ... + 18620796.

It is an arithmetic number, because the mean of its divisors is an integer number (2661573615195).

Almost surely, 2112204130672256 is an apocalyptic number.

112204130672256 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 112204130672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170340711372480).

112204130672256 is an abundant number, since it is smaller than the sum of its proper divisors (228477292072704).

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

112204130672256 is an equidigital number, since it uses as much as digits as its factorization.

112204130672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566242 (or 7566230 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 112204130672256 in words is "one hundred twelve trillion, two hundred four billion, one hundred thirty million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5521 11042 16563 22084 33126 38647 44168 66252 77294 88336 115941 132504 154588 176672 231882 265008 309176 353344 463764 530016 618352 706688 927528 1060032 1236704 1855056 2120064 2473408 3710112 4946816 7420224 7560697 14840448 15121394 22682091 30242788 45364182 52924879 60485576 90728364 105849758 120971152 158774637 181456728 211699516 241942304 317549274 362913456 423399032 483884608 635098548 725826912 846798064 967769216 1270197096 1451653824 1693596128 2540394192 2903307648 3387192256 5080788384 6774384512 10161576768 20323153536 41742608137 83485216274 125227824411 166970432548 250455648822 292198256959 333940865096 500911297644 584396513918 667881730192 876594770877 1001822595288 1168793027836 1335763460384 1753189541754 2003645190576 2337586055672 2671526920768 3506379083508 4007290381152 4675172111344 5343053841536 7012758167016 8014580762304 9350344222688 14025516334032 16029161524608 18700688445376 28051032668064 37401376890752 56102065336128 112204130672256