Search a number
-
+
5968900672 = 26759225821
BaseRepresentation
bin1011000111100011…
…00011001001000000
3120101222112120102021
411203301203021000
544211014310142
62424142131224
7300625550530
oct54361431100
916358476367
105968900672
11259331a469
1211a6b80b14
137417ca5b7
14408a354c0
1524e043267
hex163c63240

5968900672 has 56 divisors (see below), whose sum is σ = 13766109120. Its totient is φ = 2514731520.

The previous prime is 5968900667. The next prime is 5968900697. The reversal of 5968900672 is 2760098695.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86479 + ... + 139342.

Almost surely, 25968900672 is an apocalyptic number.

It is an amenable number.

5968900672 is an abundant number, since it is smaller than the sum of its proper divisors (7797208448).

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

5968900672 is a wasteful number, since it uses less digits than its factorization.

5968900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225899 (or 225889 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 5968900672 is about 77258.6608219428. The cubic root of 5968900672 is about 1813.9756401546.

The spelling of 5968900672 in words is "five billion, nine hundred sixty-eight million, nine hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 6608 13216 26432 225821 451642 903284 1580747 1806568 3161494 3613136 6322988 7226272 12645976 13323439 14452544 25291952 26646878 50583904 53293756 93264073 101167808 106587512 186528146 213175024 373056292 426350048 746112584 852700096 1492225168 2984450336 5968900672