Search a number
-
+
68727696924672 = 213324196533407
BaseRepresentation
bin11111010000001111010011…
…11101100010000000000000
3100000100022012100220212112100
433220013221331202000000
533002013310403042142
6402101022413030400
720322261253650012
oct1750075175420000
9300308170825470
1068727696924672
111a998286206425
12785ba7a785400
132c46cbcac37b6
1412d861c8d61b2
157e2b7241bb4c
hex3e81e9f62000

68727696924672 has 336 divisors, whose sum is σ = 199371652421760. Its totient is φ = 22812859170816.

The previous prime is 68727696924637. The next prime is 68727696924703. The reversal of 68727696924672 is 27642969672786.

68727696924672 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 7 + 69 + 6 + 92 + 467 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68727696924591 and 68727696924600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20172495193 + ... + 20172498599.

It is an arithmetic number, because the mean of its divisors is an integer number (593368013160).

Almost surely, 268727696924672 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 68727696924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99685826210880).

68727696924672 is an abundant number, since it is smaller than the sum of its proper divisors (130643955497088).

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

68727696924672 is a wasteful number, since it uses less digits than its factorization.

68727696924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4484 counting only the distinct ones).

The product of its digits is 9217732608, while the sum is 81.

The spelling of 68727696924672 in words is "sixty-eight trillion, seven hundred twenty-seven billion, six hundred ninety-six million, nine hundred twenty-four thousand, six hundred seventy-two".