Search a number
-
+
660106067120 = 24567347354911
BaseRepresentation
bin10011001101100010110…
…00110011110010110000
32100002211221000121222022
421212301120303302300
541303344123121440
61223125403531012
765456020664213
oct11466130636260
92302757017868
10660106067120
11234a49736435
12a7b24229a68
134a32b3738b6
1423d40c6777a
1512286a72cb5
hex99b1633cb0

660106067120 has 80 divisors (see below), whose sum is σ = 1562146587648. Its totient is φ = 259351192320.

The previous prime is 660106067111. The next prime is 660106067123. The reversal of 660106067120 is 21760601066.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (660106067123) 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 15 ways as a sum of consecutive naturals, for example, 1682465 + ... + 2037375.

Almost surely, 2660106067120 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 660106067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781073293824).

660106067120 is an abundant number, since it is smaller than the sum of its proper divisors (902040520528).

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

660106067120 is a wasteful number, since it uses less digits than its factorization.

660106067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355338 (or 355332 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

Adding to 660106067120 its reverse (21760601066), we get a palindrome (681866668186).

The spelling of 660106067120 in words is "six hundred sixty billion, one hundred six million, sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 347 536 670 694 1072 1340 1388 1735 2680 2776 3470 5360 5552 6940 13880 23249 27760 46498 92996 116245 185992 232490 354911 371984 464980 709822 929960 1419644 1774555 1859920 2839288 3549110 5678576 7098220 14196440 23779037 28392880 47558074 95116148 118895185 123154117 190232296 237790370 246308234 380464592 475580740 492616468 615770585 951161480 985232936 1231541170 1902322960 1970465872 2463082340 4926164680 8251325839 9852329360 16502651678 33005303356 41256629195 66010606712 82513258390 132021213424 165026516780 330053033560 660106067120