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112059249066 = 233193111513061
BaseRepresentation
bin110100001011101000…
…0000111000110101010
3101201020121020200001000
41220113100013012222
53313444131432231
6123251310335430
711044634621022
oct1502720070652
9351217220030
10112059249066
1143584585446
12198744ba576
13a74b01a48b
1455d08a2a82
152daccb06e6
hex1a174071aa

112059249066 has 128 divisors (see below), whose sum is σ = 270906163200. Its totient is φ = 34204680000.

The previous prime is 112059249059. The next prime is 112059249077. The reversal of 112059249066 is 660942950211.

112059249066 is a `hidden beast` number, since 1 + 12 + 0 + 5 + 92 + 490 + 66 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36607176 + ... + 36610236.

It is an arithmetic number, because the mean of its divisors is an integer number (2116454400).

Almost surely, 2112059249066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112059249066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135453081600).

112059249066 is an abundant number, since it is smaller than the sum of its proper divisors (158846914134).

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

112059249066 is a wasteful number, since it uses less digits than its factorization.

112059249066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 112059249066 in words is "one hundred twelve billion, fifty-nine million, two hundred forty-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1151 1178 1674 1767 2302 3061 3453 3534 5301 6122 6906 9183 10359 10602 15903 18366 20718 21869 27549 31077 31806 35681 43738 55098 58159 62154 65607 71362 82647 94891 107043 116318 131214 165294 174477 189782 196821 214086 284673 321129 348954 393642 523431 569346 590463 642258 677939 854019 963387 1046862 1180926 1355878 1570293 1708038 1802929 1926774 2033817 2562057 3140586 3523211 3605858 4067634 5124114 5408787 6101451 7046422 10569633 10817574 12202902 16226361 18304353 21139266 31708899 32452722 36608706 48679083 63417798 66941009 95126697 97358166 109219541 133882018 190253394 200823027 218439082 327658623 401646054 602469081 655317246 982975869 1204938162 1807407243 1965951738 2075171279 2948927607 3614814486 4150342558 5897855214 6225513837 12451027674 18676541511 37353083022 56029624533 112059249066