Search a number
-
+
68131628472 = 2335364183561
BaseRepresentation
bin111111011100111101…
…100010010110111000
320111212012200022222010
4333130331202112320
52104013144102342
651144345125520
74631236200225
oct773475422670
9214765608863
1068131628472
1126992589976
12112551898a0
13656a33907b
14342482294c
151b8b59e29c
hexfdcf625b8

68131628472 has 64 divisors (see below), whose sum is σ = 173815644960. Its totient is φ = 22247014400.

The previous prime is 68131628449. The next prime is 68131628473. The reversal of 68131628472 is 27482613186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68131628473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773572 + ... + 857132.

Almost surely, 268131628472 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 68131628472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86907822480).

68131628472 is an abundant number, since it is smaller than the sum of its proper divisors (105684016488).

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

68131628472 is a wasteful number, since it uses less digits than its factorization.

68131628472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84264 (or 84260 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 68131628472 in words is "sixty-eight billion, one hundred thirty-one million, six hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 641 1272 1282 1923 2564 3846 5128 7692 15384 33973 67946 83561 101919 135892 167122 203838 250683 271784 334244 407676 501366 668488 815352 1002732 2005464 4428733 8857466 13286199 17714932 26572398 35429864 53144796 53562601 106289592 107125202 160687803 214250404 321375606 428500808 642751212 1285502424 2838817853 5677635706 8516453559 11355271412 17032907118 22710542824 34065814236 68131628472