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90069110460 = 22335723827807
BaseRepresentation
bin101001111100010001…
…0011000111010111100
322121111001220212212000
41103320202120322330
52433430143013320
6105213245342300
76335665543530
oct1237042307274
9277431825760
1090069110460
113521a73487a
1215557b67990
13865523bc44
14450616bbc0
15252247dc90
hex14f8898ebc

90069110460 has 96 divisors (see below), whose sum is σ = 320245739520. Its totient is φ = 20587224384.

The previous prime is 90069110447. The next prime is 90069110477. The reversal of 90069110460 is 6401196009.

It is a super-2 number, since 2×900691104602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11910124 + ... + 11917683.

It is an arithmetic number, because the mean of its divisors is an integer number (3335893120).

Almost surely, 290069110460 is an apocalyptic number.

90069110460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90069110460 is an abundant number, since it is smaller than the sum of its proper divisors (230176629060).

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

90069110460 is a wasteful number, since it uses less digits than its factorization.

90069110460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827832 (or 23827824 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 90069110460 in words is "ninety billion, sixty-nine million, one hundred ten thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 23827807 47655614 71483421 95311228 119139035 142966842 166794649 214450263 238278070 285933684 333589298 357417105 428900526 476556140 500383947 643350789 667178596 714834210 833973245 857801052 1000767894 1072251315 1286701578 1429668420 1501151841 1667946490 2001535788 2144502630 2501919735 2573403156 3002303682 3216753945 3335892980 4289005260 4503455523 5003839470 6004607364 6433507890 7505759205 9006911046 10007678940 12867015780 15011518410 18013822092 22517277615 30023036820 45034555230 90069110460