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152533244033056 = 25192836071460447
BaseRepresentation
bin100010101011101001101001…
…110100111011100000100000
3202000002000222001001012202201
4202223221221310323200200
5124443101040433024211
61300224445511222544
744062106660563225
oct4253515164734040
9660060861035681
10152533244033056
1144668a927a5627
1215135b6a977a54
136715a9172b113
14299491130594c
151297b168640c1
hex8aba69d3b820

152533244033056 has 96 divisors (see below), whose sum is σ = 317744881090560. Its totient is φ = 71878618895616.

The previous prime is 152533244033011. The next prime is 152533244033239. The reversal of 152533244033056 is 650330442335251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152533244032997 and 152533244033015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103712625 + ... + 105173071.

It is an arithmetic number, because the mean of its divisors is an integer number (3309842511360).

Almost surely, 2152533244033056 is an apocalyptic number.

152533244033056 is a gapful number since it is divisible by the number (16) 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 152533244033056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158872440545280).

152533244033056 is an abundant number, since it is smaller than the sum of its proper divisors (165211637057504).

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

152533244033056 is a wasteful number, since it uses less digits than its factorization.

152533244033056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461366 (or 1461358 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 46.

The spelling of 152533244033056 in words is "one hundred fifty-two trillion, five hundred thirty-three billion, two hundred forty-four million, thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 283 304 566 607 608 1132 1214 2264 2428 4528 4856 5377 9056 9712 10754 11533 19424 21508 23066 43016 46132 86032 92264 171781 172064 184528 343562 369056 687124 1374248 1460447 2748496 2920894 3263839 5496992 5841788 6527678 11683576 13055356 23367152 26110712 27748493 46734304 52221424 55496986 104442848 110993972 221987944 413306501 443975888 826613002 886491329 887951776 1653226004 1772982658 3306452008 3545965316 6612904016 7091930632 7852823519 13225808032 14183861264 15705647038 16843335251 28367722528 31411294076 33686670502 62822588152 67373341004 125645176304 134746682008 250877046107 251290352608 269493364016 501754092214 538986728032 1003508184428 2007016368856 4014032737712 4766663876033 8028065475424 9533327752066 19066655504132 38133311008264 76266622016528 152533244033056