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30826123224 = 23313241185369
BaseRepresentation
bin11100101101011000…
…010100111111011000
32221120022210022101120
4130231120110333120
51001112441420344
622054502445240
72140620503241
oct345530247730
987508708346
1030826123224
11120895a76a6
125b83733820
132ba3593500
1416c6053cc8
15c06411219
hex72d614fd8

30826123224 has 96 divisors (see below), whose sum is σ = 85485229200. Its totient is φ = 9253570560.

The previous prime is 30826123187. The next prime is 30826123249. The reversal of 30826123224 is 42232162803.

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 23 ways as a sum of consecutive naturals, for example, 73612 + ... + 258980.

Almost surely, 230826123224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30826123224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42742614600).

30826123224 is an abundant number, since it is smaller than the sum of its proper divisors (54659105976).

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

30826123224 is a wasteful number, since it uses less digits than its factorization.

30826123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185445 (or 185428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 30826123224 in words is "thirty billion, eight hundred twenty-six million, one hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 169 246 312 328 338 492 507 533 676 984 1014 1066 1352 1599 2028 2132 3198 4056 4264 6396 6929 12792 13858 20787 27716 41574 55432 83148 166296 185369 370738 556107 741476 1112214 1482952 2224428 2409797 4448856 4819594 7229391 7600129 9639188 14458782 15200258 19278376 22800387 28917564 30400516 31327361 45600774 57835128 60801032 62654722 91201548 93982083 98801677 125309444 182403096 187964166 197603354 250618888 296405031 375928332 395206708 592810062 751856664 790413416 1185620124 1284421801 2371240248 2568843602 3853265403 5137687204 7706530806 10275374408 15413061612 30826123224