Search a number
-
+
81192034560 = 2835713261293
BaseRepresentation
bin100101110011101101…
…1000010000100000000
321202120102010201000010
41023213123002010000
52312240130101220
6101144335024520
75603004623010
oct1134733020400
9252512121003
1081192034560
113148487230a
121389b06b140
13786c09a800
143d031d3c40
1521a2e841e0
hex12e76c2100

81192034560 has 864 divisors, whose sum is σ = 327274553088. Its totient is φ = 16792289280.

The previous prime is 81192034477. The next prime is 81192034571. The reversal of 81192034560 is 6543029118.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 277105774 + ... + 277106066.

It is an arithmetic number, because the mean of its divisors is an integer number (378789992).

Almost surely, 281192034560 is an apocalyptic number.

81192034560 is a gapful number since it is divisible by the number (80) 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 81192034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163637276544).

81192034560 is an abundant number, since it is smaller than the sum of its proper divisors (246082518528).

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

81192034560 is a wasteful number, since it uses less digits than its factorization.

81192034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 81192034560 in words is "eighty-one billion, one hundred ninety-two million, thirty-four thousand, five hundred sixty".