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3283420294176 = 253117143792951
BaseRepresentation
bin101111110001111011000…
…110011010110000100000
3102121220002012112222111120
4233301323012122300200
5412243421043403201
610552214340012240
7456135134002611
oct57617306326040
912556065488446
103283420294176
111056544180660
12450422991080
131aa818763c99
14b4cc00c3c08
155a62159c536
hex2fc7b19ac20

3283420294176 has 96 divisors (see below), whose sum is σ = 9534951853056. Its totient is φ = 980962080000.

The previous prime is 3283420294171. The next prime is 3283420294177. The reversal of 3283420294176 is 6714920243823.

It is a happy number.

3283420294176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×32834202941763 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3283420294171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21821500 + ... + 21971451.

It is an arithmetic number, because the mean of its divisors is an integer number (99322415136).

Almost surely, 23283420294176 is an apocalyptic number.

It is an amenable number.

3283420294176 is an abundant number, since it is smaller than the sum of its proper divisors (6251531558880).

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

3283420294176 is a wasteful number, since it uses less digits than its factorization.

3283420294176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43793046 (or 43793038 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 3283420294176 in words is "three trillion, two hundred eighty-three billion, four hundred twenty million, two hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6248 6816 9372 12496 18744 24992 37488 74976 43792951 87585902 131378853 175171804 262757706 350343608 481722461 525515412 700687216 963444922 1051030824 1401374432 1445167383 1926889844 2102061648 2890334766 3109299521 3853779688 4204123296 5780669532 6218599042 7707559376 9327898563 11561339064 12437198084 15415118752 18655797126 23122678128 24874396168 34202294731 37311594252 46245356256 49748792336 68404589462 74623188504 99497584672 102606884193 136809178924 149246377008 205213768386 273618357848 298492754016 410427536772 547236715696 820855073544 1094473431392 1641710147088 3283420294176