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3303620061056 = 27729346327179
BaseRepresentation
bin110000000100101111000…
…110011010011110000000
3102200211012221222110101122
4300010233012122132000
5413111303213423211
611005355003051412
7460451533123340
oct60045706323600
912624187873348
103303620061056
11106406a443477
1245431b810b68
131ac6b7643a73
14b5c78b2ad20
155ae04b286db
hex3012f19a780

3303620061056 has 128 divisors (see below), whose sum is σ = 7563885235200. Its totient is φ = 1407905630208.

The previous prime is 3303620061047. The next prime is 3303620061097. The reversal of 3303620061056 is 6501600263033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121536875 + ... + 121564053.

It is an arithmetic number, because the mean of its divisors is an integer number (59092853400).

Almost surely, 23303620061056 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 3303620061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781942617600).

3303620061056 is an abundant number, since it is smaller than the sum of its proper divisors (4260265174144).

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

3303620061056 is a wasteful number, since it uses less digits than its factorization.

3303620061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956 (or 27944 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

The spelling of 3303620061056 in words is "three trillion, three hundred three billion, six hundred twenty million, sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 293 448 463 586 896 926 1172 1852 2051 2344 3241 3704 4102 4688 6482 7408 8204 9376 12964 14816 16408 18752 25928 27179 29632 32816 37504 51856 54358 59264 65632 103712 108716 131264 135659 190253 207424 217432 262528 271318 380506 414848 434864 542636 761012 869728 949613 1085272 1522024 1739456 1899226 2170544 3044048 3478912 3798452 4341088 6088096 7596904 7963447 8682176 12176192 12583877 15193808 15926894 17364352 24352384 25167754 30387616 31853788 50335508 55744129 60775232 63707576 88087139 100671016 111488258 121550464 127415152 176174278 201342032 222976516 254830304 352348556 402684064 445953032 509660608 704697112 805368128 891906064 1019321216 1409394224 1610736256 1783812128 2818788448 3567624256 3687075961 5637576896 7135248512 7374151922 11275153792 14748303844 25809531727 29496607688 51619063454 58993215376 103238126908 117986430752 206476253816 235972861504 412952507632 471945723008 825905015264 1651810030528 3303620061056