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3329795662468 = 22113721272811549
BaseRepresentation
bin110000011101000111010…
…010011010001010000100
3102210022210011222210011121
4300131013102122022010
5414023410142144333
611025404221043324
7462366304064152
oct60350722321204
912708704883147
103329795662468
111074181931210
124594059b6544
131b1cc95ab202
14b723d2923d2
155b937b1732d
hex3074749a284

3329795662468 has 144 divisors (see below), whose sum is σ = 6612476774400. Its totient is φ = 1454902041600.

The previous prime is 3329795662463. The next prime is 3329795662477. The reversal of 3329795662468 is 8642665979233.

It is a super-2 number, since 2×33297956624682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3329795662397 and 3329795662406.

It is not an unprimeable number, because it can be changed into a prime (3329795662463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2149641358 + ... + 2149642906.

It is an arithmetic number, because the mean of its divisors is an integer number (45919977600).

Almost surely, 23329795662468 is an apocalyptic number.

It is an amenable number.

3329795662468 is a deficient number, since it is larger than the sum of its proper divisors (3282681111932).

3329795662468 is a wasteful number, since it uses less digits than its factorization.

3329795662468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2007 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 70.

The spelling of 3329795662468 in words is "three trillion, three hundred twenty-nine billion, seven hundred ninety-five million, six hundred sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 22 37 44 74 127 148 254 281 407 508 562 814 1124 1369 1397 1549 1628 2738 2794 3091 3098 4699 5476 5588 6182 6196 9398 10397 12364 15059 17039 18796 20794 30118 34078 35687 41588 51689 57313 60236 68156 71374 103378 114367 114626 142748 173863 196723 206756 228734 229252 347726 384689 392557 393446 435269 457468 630443 695452 769378 785114 786892 870538 1260886 1320419 1538756 1570228 1741076 1912493 2120581 2163953 2521772 2640838 3824986 4231579 4241162 4327906 4787959 5281676 7278751 7649972 8463158 8482324 8655812 9575918 14524609 14557502 16104953 16926316 19151836 23326391 29049218 29115004 32209906 46652782 48855503 55279163 58098436 64419812 80066261 93305564 97711006 110558326 160132522 177154483 195422012 221116652 269313787 320265044 354308966 537410533 538627574 595883261 608070793 708617932 1074821066 1077255148 1191766522 1216141586 2045329031 2149642132 2383533044 2432283172 2962451657 4090658062 5924903314 6554715871 8181316124 11849806628 13109431742 22498619341 26218863484 44997238682 75677174147 89994477364 151354348294 302708696588 832448915617 1664897831234 3329795662468