Search a number
-
+
69274808064 = 2834711431009
BaseRepresentation
bin100000010000100011…
…0011010111100000000
320121210212202212120000
41000201012122330000
52113333322324224
651454023320000
75001460103310
oct1004106327400
9217725685500
1069274808064
11274199066a0
1211513bb0000
1366c01278b7
1434d25a1440
151c06b140c9
hex102119af00

69274808064 has 720 divisors, whose sum is σ = 263785885440. Its totient is φ = 17557585920.

The previous prime is 69274808039. The next prime is 69274808081. The reversal of 69274808064 is 46080847296.

69274808064 is a `hidden beast` number, since 6 + 9 + 27 + 480 + 80 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 69274808064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68656392 + ... + 68657400.

Almost surely, 269274808064 is an apocalyptic number.

69274808064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69274808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131892942720).

69274808064 is an abundant number, since it is smaller than the sum of its proper divisors (194511077376).

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

69274808064 is a wasteful number, since it uses less digits than its factorization.

69274808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 69274808064 in words is "sixty-nine billion, two hundred seventy-four million, eight hundred eight thousand, sixty-four".