Search a number
-
+
81114652080 = 2432571131109433
BaseRepresentation
bin100101110001011001…
…1110101110110110000
321202101000112021012100
41023202303311312300
52312110322331310
6101132532300400
75601045111060
oct1134263656660
9252330467170
1081114652080
1131445119750
1213879171700
137859045967
143cd6c0d3a0
15219b29aec0
hex12e2cf5db0

81114652080 has 960 divisors, whose sum is σ = 354617303040. Its totient is φ = 16124313600.

The previous prime is 81114652037. The next prime is 81114652117. The reversal of 81114652080 is 8025641118.

81114652080 is a `hidden beast` number, since 8 + 1 + 11 + 46 + 520 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187331544 + ... + 187331976.

It is an arithmetic number, because the mean of its divisors is an integer number (369393024).

Almost surely, 281114652080 is an apocalyptic number.

81114652080 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 81114652080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177308651520).

81114652080 is an abundant number, since it is smaller than the sum of its proper divisors (273502650960).

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

81114652080 is a wasteful number, since it uses less digits than its factorization.

81114652080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 81114652080 in words is "eighty-one billion, one hundred fourteen million, six hundred fifty-two thousand, eighty".