Search a number
-
+
68662635109264 = 24746726312
BaseRepresentation
bin11111001110010110000111…
…11110011001101110010000
3100000010002021002122012102101
433213023003332121232100
532444432034041444024
6402011102404330144
720314466051440000
oct1747130376315620
9300102232565371
1068662635109264
111a972729540549
12784b3416a3954
132c40b21773681
1412d5409a90000
157e1115601c44
hex3e72c3f99b90

68662635109264 has 225 divisors, whose sum is σ = 157797950337531. Its totient is φ = 28941697794240.

The previous prime is 68662635109241. The next prime is 68662635109283. The reversal of 68662635109264 is 46290153626686.

The square root of 68662635109264 is 8286292.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 68662635109196 and 68662635109205.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108815586229 + ... + 108815586859.

Almost surely, 268662635109264 is an apocalyptic number.

68662635109264 is the 8286292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68662635109264

68662635109264 is an abundant number, since it is smaller than the sum of its proper divisors (89135315228267).

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

68662635109264 is an frugal number, since it uses more digits than its factorization.

68662635109264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

The spelling of 68662635109264 in words is "sixty-eight trillion, six hundred sixty-two billion, six hundred thirty-five million, one hundred nine thousand, two hundred sixty-four".