Search a number
-
+
81696933864 = 233271317838837
BaseRepresentation
bin100110000010110000…
…1000100011111101000
321210212121012020122100
41030011201010133220
52314303403340424
6101310412453400
75621345323440
oct1140541043750
9253777166570
1081696933864
1131713875667
1213a0017a260
13791c8798b0
143d502a3120
1521d2468dc9
hex13058447e8

81696933864 has 384 divisors, whose sum is σ = 291849143040. Its totient is φ = 20032413696.

The previous prime is 81696933859. The next prime is 81696933889. The reversal of 81696933864 is 46833969618.

81696933864 is a `hidden beast` number, since 8 + 169 + 6 + 93 + 386 + 4 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9240454 + ... + 9249290.

It is an arithmetic number, because the mean of its divisors is an integer number (760023810).

Almost surely, 281696933864 is an apocalyptic number.

81696933864 is a gapful number since it is divisible by the number (84) 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 81696933864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145924571520).

81696933864 is an abundant number, since it is smaller than the sum of its proper divisors (210152209176).

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

81696933864 is a wasteful number, since it uses less digits than its factorization.

81696933864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8962 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 81696933864 in words is "eighty-one billion, six hundred ninety-six million, nine hundred thirty-three thousand, eight hundred sixty-four".