Search a number
-
+
81104094720 = 293451131237
BaseRepresentation
bin100101110001000101…
…1100100011000000000
321202100021122220020000
41023202023210120000
52312100122012340
6101131514120000
75600556300435
oct1134213443000
9252307586200
1081104094720
113143a168860
1213875720000
137856aba4bc
143cd5661b8c
15219a3b2d30
hex12e22e4600

81104094720 has 1200 divisors, whose sum is σ = 336299595984. Its totient is φ = 18513100800.

The previous prime is 81104094719. The next prime is 81104094749. The reversal of 81104094720 is 2749040118.

81104094720 is a `hidden beast` number, since 81 + 104 + 0 + 9 + 472 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2192002542 + ... + 2192002578.

Almost surely, 281104094720 is an apocalyptic number.

81104094720 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 81104094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168149797992).

81104094720 is an abundant number, since it is smaller than the sum of its proper divisors (255195501264).

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

81104094720 is a wasteful number, since it uses less digits than its factorization.

81104094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 81104094720 in words is "eighty-one billion, one hundred four million, ninety-four thousand, seven hundred twenty".