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3296828652138 = 2347139183111423
BaseRepresentation
bin101111111110011010010…
…011001111101001101010
3102200011200122202010210000
4233332122103033221222
5413003401113332023
611002313035403430
7460121326112340
oct57763223175152
912604618663700
103296828652138
1110611a490a42a
12452b452b3576
131abb746125c8
14b57d2b8b990
155ab587b4243
hex2ff9a4cfa6a

3296828652138 has 160 divisors (see below), whose sum is σ = 8508799918080. Its totient is φ = 934581849120.

The previous prime is 3296828652119. The next prime is 3296828652149. The reversal of 3296828652138 is 8312568286923.

3296828652138 is a `hidden beast` number, since 3 + 29 + 6 + 8 + 2 + 86 + 521 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 288607495 + ... + 288618917.

It is an arithmetic number, because the mean of its divisors is an integer number (53179999488).

Almost surely, 23296828652138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3296828652138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254399959040).

3296828652138 is an abundant number, since it is smaller than the sum of its proper divisors (5211971265942).

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

3296828652138 is a wasteful number, since it uses less digits than its factorization.

3296828652138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414 (or 13405 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 3296828652138 in words is "three trillion, two hundred ninety-six billion, eight hundred twenty-eight million, six hundred fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 139 162 189 278 378 417 567 834 973 1134 1251 1831 1946 2502 2919 3662 3753 5493 5838 7506 8757 10986 11259 11423 12817 16479 17514 22518 22846 25634 26271 32958 34269 38451 49437 52542 68538 76902 78813 79961 98874 102807 115353 148311 157626 159922 205614 230706 239883 254509 296622 308421 346059 479766 509018 616842 692118 719649 763527 925263 1038177 1439298 1527054 1587797 1781563 1850526 2076354 2158947 2290581 3175594 3563126 4317894 4581162 4763391 5344689 6476841 6871743 9526782 10689378 11114579 12953682 13743486 14290173 16034067 20615229 20915513 22229158 28580346 32068134 33343737 41230458 41831026 42870519 48102201 62746539 66687474 85741038 96204402 100031211 125493078 128611557 144306603 146408591 188239617 200062422 257223114 288613206 292817182 300093633 376479234 439225773 564718851 600187266 878451546 900280899 1129437702 1317677319 1694156553 1800561798 2635354638 2907256307 3388313106 3953031957 5814512614 7906063914 8721768921 11859095871 17443537842 20350794149 23718191742 26165306763 40701588298 52330613526 61052382447 78495920289 122104764894 156991840578 183157147341 235487760867 366314294682 470975521734 549471442023 1098942884046 1648414326069 3296828652138