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112198872384 = 263431698171
BaseRepresentation
bin110100001111110010…
…0101110110101000000
3101201121022222021020000
41220133210232311000
53314240402404014
6123313215120000
711051251452054
oct1503744566500
9351538867200
10112198872384
114364637a515
12198b3213000
13a770c25221
145605249c64
152dba190509
hex1a1f92ed40

112198872384 has 140 divisors (see below), whose sum is σ = 343321891968. Its totient is φ = 36193132800.

The previous prime is 112198872361. The next prime is 112198872403. The reversal of 112198872384 is 483278891211.

112198872384 is a `hidden beast` number, since 1 + 1 + 2 + 198 + 8 + 72 + 384 = 666.

It is a super-2 number, since 2×1121988723842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112198872384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188382 + ... + 509789.

Almost surely, 2112198872384 is an apocalyptic number.

It is an amenable number.

112198872384 is an abundant number, since it is smaller than the sum of its proper divisors (231123019584).

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

112198872384 is an equidigital number, since it uses as much as digits as its factorization.

112198872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698226 (or 698207 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 112198872384 in words is "one hundred twelve billion, one hundred ninety-eight million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 26784 40176 53568 80352 160704 698171 1396342 2094513 2792684 4189026 5585368 6283539 8378052 11170736 12567078 16756104 18850617 21643301 22341472 25134156 33512208 37701234 43286602 44682944 50268312 56551851 64929903 67024416 75402468 86573204 100536624 113103702 129859806 134048832 150804936 173146408 194789709 201073248 226207404 259719612 301609872 346292816 389579418 402146496 452414808 519439224 584369127 603219744 692585632 779158836 904829616 1038878448 1168738254 1206439488 1385171264 1558317672 1753107381 1809659232 2077756896 2337476508 3116635344 3506214762 3619318464 4155513792 4674953016 6233270688 7012429524 9349906032 12466541376 14024859048 18699812064 28049718096 37399624128 56099436192 112198872384