Search a number
-
+
69364216694304 = 2533723261355417
BaseRepresentation
bin11111100010110000111010…
…11111110000011000100000
3100002121011011112011102222000
433301120131133300120200
533042430403433204204
6403305251540444000
720416253644505430
oct1761303537603040
9302534145142860
1069364216694304
1120113221003414
1279432bb9a9600
132c9202c79953c
14131b3630542c0
158044c846c039
hex3f161d7f0620

69364216694304 has 576 divisors, whose sum is σ = 245666968807680. Its totient is φ = 18645862625280.

The previous prime is 69364216694239. The next prime is 69364216694321. The reversal of 69364216694304 is 40349661246396.

69364216694304 is a `hidden beast` number, since 6 + 9 + 36 + 4 + 2 + 166 + 9 + 430 + 4 = 666.

69364216694304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×693642166943042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 194985204 + ... + 195340620.

It is an arithmetic number, because the mean of its divisors is an integer number (426505154180).

Almost surely, 269364216694304 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 69364216694304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122833484403840).

69364216694304 is an abundant number, since it is smaller than the sum of its proper divisors (176302752113376).

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

69364216694304 is a wasteful number, since it uses less digits than its factorization.

69364216694304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355550 (or 355513 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 69364216694304 in words is "sixty-nine trillion, three hundred sixty-four billion, two hundred sixteen million, six hundred ninety-four thousand, three hundred four".