Search a number
-
+
81433168593210 = 2345763191924767
BaseRepresentation
bin10010100001000000100011…
…000101100100000100111010
3101200022221020112101221020000
4102201000203011210010322
541133200112124440320
6445105514201213430
723103231555141330
oct2241004305440472
9350287215357200
1081433168593210
1123a46681792435
129172363491276
1336591654245b5
14161755a379b50
159633e4969c90
hex4a102316413a

81433168593210 has 320 divisors, whose sum is σ = 250924869550080. Its totient is φ = 18562826298240.

The previous prime is 81433168593209. The next prime is 81433168593241. The reversal of 81433168593210 is 1239586133418.

It is a happy number.

81433168593210 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 31 + 6 + 8 + 593 + 2 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3287958247 + ... + 3287983013.

It is an arithmetic number, because the mean of its divisors is an integer number (784140217344).

Almost surely, 281433168593210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81433168593210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125462434775040).

81433168593210 is an abundant number, since it is smaller than the sum of its proper divisors (169491700956870).

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

81433168593210 is a wasteful number, since it uses less digits than its factorization.

81433168593210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26343 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 81433168593210 in words is "eighty-one trillion, four hundred thirty-three billion, one hundred sixty-eight million, five hundred ninety-three thousand, two hundred ten".