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112272384048 = 243113110962929
BaseRepresentation
bin110100010001111110…
…1001010000000110000
3101201210110022001021020
41220203331022000300
53314413212242143
6123324402455440
711053133342556
oct1504375120060
9351713261236
10112272384048
1143683919960
1219913964580
13a783223256
145610d03bd6
152dc1861883
hex1a23f4a030

112272384048 has 160 divisors (see below), whose sum is σ = 329612236800. Its totient is φ = 32621875200.

The previous prime is 112272384041. The next prime is 112272384053. The reversal of 112272384048 is 840483272211.

It is not an unprimeable number, because it can be changed into a prime (112272384041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752648 + ... + 1815576.

It is an arithmetic number, because the mean of its divisors is an integer number (2060076480).

Almost surely, 2112272384048 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 112272384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164806118400).

112272384048 is an abundant number, since it is smaller than the sum of its proper divisors (217339852752).

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

112272384048 is a wasteful number, since it uses less digits than its factorization.

112272384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63091 (or 63085 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 112272384048 in words is "one hundred twelve billion, two hundred seventy-two million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 109 124 132 176 186 218 248 264 327 341 372 436 496 528 654 682 744 872 1023 1199 1308 1364 1488 1744 2046 2398 2616 2728 3379 3597 4092 4796 5232 5456 6758 7194 8184 9592 10137 13516 14388 16368 19184 20274 27032 28776 37169 40548 54064 57552 62929 74338 81096 111507 125858 148676 162192 188787 223014 251716 297352 377574 446028 503432 594704 692219 755148 892056 1006864 1384438 1510296 1784112 1950799 2076657 2768876 3020592 3901598 4153314 5537752 5852397 6859261 7803196 8306628 11075504 11704794 13718522 15606392 16613256 20577783 21458789 23409588 27437044 31212784 33226512 41155566 42917578 46819176 54874088 64376367 75451871 82311132 85835156 93638352 109748176 128752734 150903742 164622264 171670312 212637091 226355613 257505468 301807484 329244528 343340624 425274182 452711226 515010936 603614968 637911273 850548364 905422452 1030021872 1207229936 1275822546 1701096728 1810844904 2339008001 2551645092 3402193456 3621689808 4678016002 5103290184 7017024003 9356032004 10206580368 14034048006 18712064008 28068096012 37424128016 56136192024 112272384048