Search a number
-
+
668034665344 = 2753233422627
BaseRepresentation
bin10011011100010011111…
…10000000101110000000
32100212022111002011001101
421232021332000232000
541421113333242334
61230520233144144
766156343652014
oct11561176005600
92325274064041
10668034665344
11238348175652
12a957755b054
134acc2b77137
1424493c66544
151259cb67214
hex9b89f80b80

668034665344 has 64 divisors (see below), whose sum is σ = 1361783489040. Its totient is φ = 326307844096.

The previous prime is 668034665329. The next prime is 668034665369. The reversal of 668034665344 is 443566430866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1369359 + ... + 1791985.

Almost surely, 2668034665344 is an apocalyptic number.

668034665344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668034665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680891744520).

668034665344 is an abundant number, since it is smaller than the sum of its proper divisors (693748823696).

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

668034665344 is a wasteful number, since it uses less digits than its factorization.

668034665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422927 (or 422915 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 55.

The spelling of 668034665344 in words is "six hundred sixty-eight billion, thirty-four million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 233 424 466 848 932 1696 1864 3392 3728 6784 7456 12349 14912 24698 29824 49396 98792 197584 395168 422627 790336 845254 1580672 1690508 3381016 6762032 13524064 22399231 27048128 44798462 54096256 89596924 98472091 179193848 196944182 358387696 393888364 716775392 787776728 1433550784 1575553456 2867101568 3151106912 5219020823 6302213824 10438041646 12604427648 20876083292 41752166584 83504333168 167008666336 334017332672 668034665344