Search a number
-
+
673334073672 = 233132291756911
BaseRepresentation
bin10011100110001011101…
…01101001100101001000
32101100222210211222121220
421303011311221211020
542012442010324142
61233154142002040
766434563123041
oct11630565514510
92340883758556
10673334073672
1123a617592557
12aa5b6276320
134b658a57400
14248379c58c8
15127ad0122ec
hex9cc5d69948

673334073672 has 96 divisors (see below), whose sum is σ = 1823439991680. Its totient is φ = 207105050880.

The previous prime is 673334073667. The next prime is 673334073673. The reversal of 673334073672 is 276370433376.

It is not an unprimeable number, because it can be changed into a prime (673334073673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11802897 + ... + 11859807.

It is an arithmetic number, because the mean of its divisors is an integer number (18994166580).

Almost surely, 2673334073672 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 673334073672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911719995840).

673334073672 is an abundant number, since it is smaller than the sum of its proper divisors (1150105918008).

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

673334073672 is a wasteful number, since it uses less digits than its factorization.

673334073672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59863 (or 59846 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 51.

The spelling of 673334073672 in words is "six hundred seventy-three billion, three hundred thirty-four million, seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2917 4056 5834 8751 11668 17502 23336 35004 37921 56911 70008 75842 113763 113822 151684 170733 227526 227644 303368 341466 455052 455288 492973 682932 739843 910104 985946 1365864 1478919 1479686 1971892 2219529 2957838 2959372 3943784 4439058 5915676 5918744 8878116 9617959 11831352 17756232 19235918 28853877 38471836 57707754 76943672 115415508 166009387 230831016 332018774 498028161 664037548 996056322 1328075096 1992112644 2158122031 3984225288 4316244062 6474366093 8632488124 12948732186 17264976248 25897464372 28055586403 51794928744 56111172806 84166759209 112222345612 168333518418 224444691224 336667036836 673334073672