Search a number
-
+
99294894720 = 27325717314673
BaseRepresentation
bin101110001111001101…
…1111101101010000000
3100111022000212021122100
41130132123331222000
53111323443112340
6113340534110400
710113422451660
oct1343633755200
9314260767570
1099294894720
113912441a06a
12172b17ab400
139495703698
144b3d5581a0
1528b23a9830
hex171e6fda80

99294894720 has 768 divisors, whose sum is σ = 428386682880. Its totient is φ = 20667432960.

The previous prime is 99294894719. The next prime is 99294894761. The reversal of 99294894720 is 2749849299.

99294894720 is a `hidden beast` number, since 9 + 92 + 9 + 489 + 47 + 20 = 666.

It is a super-2 number, since 2×992948947202 (a number of 23 digits) contains 22 as substring.

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

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, 21246304 + ... + 21250976.

It is an arithmetic number, because the mean of its divisors is an integer number (557795160).

Almost surely, 299294894720 is an apocalyptic number.

99294894720 is a gapful number since it is divisible by the number (90) 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 99294894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214193341440).

99294894720 is an abundant number, since it is smaller than the sum of its proper divisors (329091788160).

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

99294894720 is a wasteful number, since it uses less digits than its factorization.

99294894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 99294894720 in words is "ninety-nine billion, two hundred ninety-four million, eight hundred ninety-four thousand, seven hundred twenty".