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112338672208 = 24723891573121
BaseRepresentation
bin110100010011111101…
…0000001101001010000
3101201222002000211112021
41220213322001221100
53320032200002313
6123335131341224
711054566646530
oct1504772015120
9351862024467
10112338672208
1143708285164
1219931bb1814
13a793b92409
145619a3b4c0
152dc75a778d
hex1a27e81a50

112338672208 has 160 divisors (see below), whose sum is σ = 264238087680. Its totient is φ = 45229916160.

The previous prime is 112338672203. The next prime is 112338672209. The reversal of 112338672208 is 802276833211.

112338672208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112338672203) 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, 35992888 + ... + 35996008.

It is an arithmetic number, because the mean of its divisors is an integer number (1651488048).

Almost surely, 2112338672208 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 112338672208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132119043840).

112338672208 is an abundant number, since it is smaller than the sum of its proper divisors (151899415472).

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

112338672208 is a wasteful number, since it uses less digits than its factorization.

112338672208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 112338672208 in words is "one hundred twelve billion, three hundred thirty-eight million, six hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 89 92 112 157 161 178 184 314 322 356 368 623 628 644 712 1099 1246 1256 1288 1424 2047 2198 2492 2512 2576 3121 3611 4094 4396 4984 6242 7222 8188 8792 9968 12484 13973 14329 14444 16376 17584 21847 24968 25277 27946 28658 28888 32752 43694 49936 50554 55892 57316 57776 71783 87388 97811 101108 111784 114632 143566 174776 195622 202216 223568 229264 277769 287132 321379 349552 391244 404432 489997 502481 555538 574264 642758 782488 979994 1004962 1111076 1148528 1285516 1564976 1944383 1959988 2009924 2222152 2249653 2571032 3429979 3888766 3919976 4019848 4444304 4499306 5142064 6388687 6859958 7777532 7839952 8039696 8998612 11269931 12777374 13719916 15555064 17997224 22539862 25554748 27439832 31110128 35994448 43609733 44720809 45079724 51109496 54879664 78889517 87219466 89441618 90159448 102218992 157779034 174438932 178883236 180318896 305268131 315558068 348877864 357766472 610536262 631116136 697755728 715532944 1003023859 1221072524 1262232272 2006047718 2442145048 4012095436 4884290096 7021167013 8024190872 14042334026 16048381744 28084668052 56169336104 112338672208