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112364423874 = 232192922271721
BaseRepresentation
bin110100010100101110…
…0010000101011000010
3101202000212111011011200
41220221130100223002
53320110243030444
6123341451322030
711055331562343
oct1505134205302
9352025434150
10112364423874
114372087382a
121993a750316
13a79930a7a1
14561d2220ca
152dc9992969
hex1a29710ac2

112364423874 has 144 divisors (see below), whose sum is σ = 266735458080. Its totient is φ = 34089189120.

The previous prime is 112364423867. The next prime is 112364423933. The reversal of 112364423874 is 478324463211.

112364423874 is a `hidden beast` number, since 1 + 123 + 6 + 442 + 3 + 87 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65289334 + ... + 65291054.

It is an arithmetic number, because the mean of its divisors is an integer number (1852329570).

Almost surely, 2112364423874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112364423874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133367729040).

112364423874 is an abundant number, since it is smaller than the sum of its proper divisors (154371034206).

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

112364423874 is a wasteful number, since it uses less digits than its factorization.

112364423874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2001 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 112364423874 in words is "one hundred twelve billion, three hundred sixty-four million, four hundred twenty-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 227 261 342 454 522 551 681 841 1102 1362 1653 1682 1721 2043 2523 3306 3442 4086 4313 4959 5046 5163 6583 7569 8626 9918 10326 12939 13166 15138 15489 15979 19749 25878 30978 31958 32699 38817 39498 47937 49909 59247 65398 77634 95874 98097 99818 118494 125077 143811 149727 190907 196194 250154 287622 294291 299454 375231 381814 390667 449181 572721 588582 750462 781334 898362 948271 1125693 1145442 1172001 1447361 1718163 1896542 2251386 2344002 2844813 2894722 3436326 3516003 3627233 4342083 5689626 7032006 7254466 7422673 8534439 8684166 10881699 11329343 13026249 14845346 17068878 21763398 22268019 22658686 26052498 27499859 32645097 33988029 44536038 54999718 65290194 66804057 67976058 82499577 101964087 133608114 164999154 203928174 215257517 247498731 328550947 430515034 494997462 645772551 657101894 985652841 1291545102 1937317653 1971305682 2956958523 3874635306 5913917046 6242467993 12484935986 18727403979 37454807958 56182211937 112364423874