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112058826780 = 223537427311813
BaseRepresentation
bin110100001011100111…
…0100000000000011100
3101201020120110012202210
41220113032200000130
53313444024424110
6123251253320420
711044631211615
oct1502716400034
9351216405683
10112058826780
114358431714a
1219874336110
13a74ac001c4
1455d07d2c0c
152dacc2a520
hex1a173a001c

112058826780 has 96 divisors (see below), whose sum is σ = 322347541824. Its totient is φ = 29065457664.

The previous prime is 112058826727. The next prime is 112058826857. The reversal of 112058826780 is 87628850211.

It is a super-4 number, since 4×1120588267804 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9480154 + ... + 9491966.

It is an arithmetic number, because the mean of its divisors is an integer number (3357786894).

Almost surely, 2112058826780 is an apocalyptic number.

112058826780 is a gapful number since it is divisible by the number (10) 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 112058826780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161173770912).

112058826780 is an abundant number, since it is smaller than the sum of its proper divisors (210288715044).

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

112058826780 is a wasteful number, since it uses less digits than its factorization.

112058826780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 112058826780 in words is "one hundred twelve billion, fifty-eight million, eight hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4273 8546 11813 12819 17092 21365 23626 25638 35439 42730 47252 51276 59065 64095 70878 85460 118130 128190 141756 158101 177195 236260 256380 316202 354390 437081 474303 632404 708780 790505 874162 948606 1311243 1581010 1748324 1897212 2185405 2371515 2622486 3162020 4370810 4743030 5244972 6556215 8741620 9486060 13112430 26224860 50476949 100953898 151430847 201907796 252384745 302861694 504769490 605723388 757154235 1009538980 1514308470 1867647113 3028616940 3735294226 5602941339 7470588452 9338235565 11205882678 18676471130 22411765356 28014706695 37352942260 56029413390 112058826780