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112069072038 = 23711239755547
BaseRepresentation
bin110100001011111010…
…1100101010010100110
3101201021021201201121210
41220113311211102212
53314004140301123
6123252301052250
711045114252310
oct1502765452246
9351237651553
10112069072038
114358a084600
1219877857086
13a7500795a1
1455d1cdc7b0
152dadaa0e93
hex1a17d654a6

112069072038 has 96 divisors (see below), whose sum is σ = 282276271872. Its totient is φ = 29035005120.

The previous prime is 112069072021. The next prime is 112069072051. The reversal of 112069072038 is 830270960211.

It is a junction number, because it is equal to n+sod(n) for n = 112069071987 and 112069072005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989781 + ... + 2045327.

It is an arithmetic number, because the mean of its divisors is an integer number (2940377832).

Almost surely, 2112069072038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112069072038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141138135936).

112069072038 is an abundant number, since it is smaller than the sum of its proper divisors (170207199834).

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

112069072038 is a wasteful number, since it uses less digits than its factorization.

112069072038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55978 (or 55967 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 112069072038 in words is "one hundred twelve billion, sixty-nine million, seventy-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 397 462 726 794 847 1191 1694 2382 2541 2779 4367 5082 5558 8337 8734 13101 16674 26202 30569 48037 55547 61138 91707 96074 111094 144111 166641 183414 288222 333282 336259 388829 611017 672518 777658 1008777 1166487 1222034 1833051 2017554 2332974 3666102 4277119 6721187 8554238 12831357 13442374 20163561 22052159 25662714 40327122 44104318 47048309 66156477 94096618 132312954 141144927 154365113 242573749 282289854 308730226 463095339 485147498 727721247 926190678 1455442494 1698016243 2668311239 3396032486 5094048729 5336622478 8004933717 10188097458 16009867434 18678178673 37356357346 56034536019 112069072038