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112664534420 = 225315914592111
BaseRepresentation
bin110100011101101010…
…1000101110110010100
3101202210210012100110002
41220323111011312110
53321214110100140
6123431331550432
711065634512244
oct1507325056624
9352723170402
10112664534420
1143865213279
1219a0315b418
13a8165469a9
14564b023b24
152de5ec4415
hex1a3b545d94

112664534420 has 96 divisors (see below), whose sum is σ = 248655052800. Its totient is φ = 42823209600.

The previous prime is 112664534399. The next prime is 112664534431. The reversal of 112664534420 is 24435466211.

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 31 ways as a sum of consecutive naturals, for example, 53369165 + ... + 53371275.

It is an arithmetic number, because the mean of its divisors is an integer number (2590156800).

Almost surely, 2112664534420 is an apocalyptic number.

112664534420 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 112664534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124327526400).

112664534420 is an abundant number, since it is smaller than the sum of its proper divisors (135990518380).

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

112664534420 is a wasteful number, since it uses less digits than its factorization.

112664534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 112664534420 in words is "one hundred twelve billion, six hundred sixty-four million, five hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1459 1829 2111 2918 3658 4222 5836 7295 7316 8444 9145 10555 14590 18290 21110 29180 36580 42220 45229 65441 86081 90458 124549 130882 172162 180916 226145 249098 261764 327205 344324 430405 452290 498196 622745 654410 860810 904580 1245490 1308820 1721620 2490980 2668511 3079949 3861019 5337022 6159898 7722038 10674044 12319796 13342555 15399745 15444076 19305095 26685110 30799490 38610190 53370220 61598980 77220380 95478419 181716991 190956838 363433982 381913676 477392095 726867964 908584955 954784190 1817169910 1909568380 3634339820 5633226721 11266453442 22532906884 28166133605 56332267210 112664534420