Search a number
-
+
8616404412 = 223272111672659
BaseRepresentation
bin10000000011001001…
…11110010110111100
3211020111021200210100
420001210332112330
5120121244420122
63542555241100
7423344141400
oct100144762674
924214250710
108616404412
113721810190
121805749190
13a74163665
145ba4c1100
153566a8aac
hex20193e5bc

8616404412 has 216 divisors, whose sum is σ = 27815598720. Its totient is φ = 2223789120.

The previous prime is 8616404393. The next prime is 8616404413. The reversal of 8616404412 is 2144046168.

It is a happy number.

8616404412 is a `hidden beast` number, since 8 + 6 + 1 + 640 + 4 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×86164044122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8616404413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3239139 + ... + 3241797.

It is an arithmetic number, because the mean of its divisors is an integer number (128775920).

Almost surely, 28616404412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8616404412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907799360).

8616404412 is an abundant number, since it is smaller than the sum of its proper divisors (19199194308).

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

8616404412 is a wasteful number, since it uses less digits than its factorization.

8616404412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8616404412 is about 92824.5894792969. The cubic root of 8616404412 is about 2050.1014752069.

The spelling of 8616404412 in words is "eight billion, six hundred sixteen million, four hundred four thousand, four hundred twelve".