Search a number
-
+
68679874872 = 23327149990907
BaseRepresentation
bin111111111101101000…
…111011100100111000
320120021102022010122100
4333331220323210320
52111124021443442
651315012023400
74650644206230
oct777550734470
9216242263570
1068679874872
1127143aa9574
1211388901b60
136626ab431b
143477576cc0
151bbe79784c
hexffda3b938

68679874872 has 96 divisors (see below), whose sum is σ = 212724720000. Its totient is φ = 19609515072.

The previous prime is 68679874867. The next prime is 68679874889. The reversal of 68679874872 is 27847897686.

68679874872 is a `hidden beast` number, since 6 + 8 + 67 + 9 + 87 + 487 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68679874872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710043 + ... + 800949.

It is an arithmetic number, because the mean of its divisors is an integer number (2215882500).

Almost surely, 268679874872 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 68679874872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106362360000).

68679874872 is an abundant number, since it is smaller than the sum of its proper divisors (144044845128).

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

68679874872 is a wasteful number, since it uses less digits than its factorization.

68679874872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92425 (or 92418 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 68679874872 in words is "sixty-eight billion, six hundred seventy-nine million, eight hundred seventy-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1499 2998 4497 5996 8994 10493 11992 13491 17988 20986 26982 31479 35976 41972 53964 62958 83944 90907 94437 107928 125916 181814 188874 251832 272721 363628 377748 545442 636349 727256 755496 818163 1090884 1272698 1636326 1909047 2181768 2545396 3272652 3818094 5090792 5727141 6545304 7636188 11454282 15272376 22908564 45817128 136269593 272539186 408808779 545078372 817617558 953887151 1090156744 1226426337 1635235116 1907774302 2452852674 2861661453 3270470232 3815548604 4905705348 5723322906 7631097208 8584984359 9811410696 11446645812 17169968718 22893291624 34339937436 68679874872