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3305139469272 = 233397907173923
BaseRepresentation
bin110000000110001001101…
…010011111101111011000
3102200222010212000101122000
4300012021222133233120
5413122411201004042
611010205441201000
7460534302644034
oct60061152375730
912628125011560
103305139469272
11106477a07a343
12454684630160
131ac89a36cc94
14b5d808431c4
155ae9320874c
hex30189a9fbd8

3305139469272 has 128 divisors (see below), whose sum is σ = 9285871929600. Its totient is φ = 1089146870784.

The previous prime is 3305139469237. The next prime is 3305139469273. The reversal of 3305139469272 is 2729649315033.

3305139469272 is a `hidden beast` number, since 3 + 30 + 51 + 39 + 469 + 2 + 72 = 666.

3305139469272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33051394692722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305139469273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18916503 + ... + 19090425.

It is an arithmetic number, because the mean of its divisors is an integer number (72545874450).

Almost surely, 23305139469272 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 3305139469272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642935964800).

3305139469272 is an abundant number, since it is smaller than the sum of its proper divisors (5980732460328).

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

3305139469272 is a wasteful number, since it uses less digits than its factorization.

3305139469272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174942 (or 174932 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3305139469272 in words is "three trillion, three hundred five billion, one hundred thirty-nine million, four hundred sixty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 907 1164 1746 1814 2328 2619 2721 3492 3628 5238 5442 6984 7256 8163 10476 10884 16326 20952 21768 24489 32652 48978 65304 87979 97956 173923 175958 195912 263937 347846 351916 521769 527874 695692 703832 791811 1043538 1055748 1391384 1565307 1583622 2087076 2111496 2375433 3130614 3167244 4174152 4695921 4750866 6261228 6334488 9391842 9501732 12522456 16870531 18783684 19003464 33741062 37567368 50611593 67482124 101223186 134964248 151834779 157748161 202446372 303669558 315496322 404892744 455504337 473244483 607339116 630992644 911008674 946488966 1214678232 1261985288 1419733449 1822017348 1892977932 2839466898 3644034696 3785955864 4259200347 5678933796 8518400694 11357867592 15301571617 17036801388 30603143234 34073602776 45904714851 61206286468 91809429702 122412572936 137714144553 183618859404 275428289106 367237718808 413142433659 550856578212 826284867318 1101713156424 1652569734636 3305139469272