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10104453216 = 253611132233
BaseRepresentation
bin10010110100100010…
…11011100001100000
3222002012022102000000
421122101123201200
5131143220000331
64350353300000
7505253302164
oct113221334140
928065272000
1010104453216
114315778290
121b5bb64600
13c5052cc00
146bbd92ca4
153e21420e6
hex25a45b860

10104453216 has 504 divisors, whose sum is σ = 35384161176. Its totient is φ = 2814289920.

The previous prime is 10104453211. The next prime is 10104453223. The reversal of 10104453216 is 61235440101.

It is a happy number.

10104453216 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 445 + 3 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10104453216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104453211) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43366636 + ... + 43366868.

It is an arithmetic number, because the mean of its divisors is an integer number (70206669).

Almost surely, 210104453216 is an apocalyptic number.

10104453216 is a gapful number since it is divisible by the number (16) 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 10104453216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692080588).

10104453216 is an abundant number, since it is smaller than the sum of its proper divisors (25279707960).

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

10104453216 is a wasteful number, since it uses less digits than its factorization.

10104453216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10104453216 its reverse (61235440101), we get a palindrome (71339893317).

The spelling of 10104453216 in words is "ten billion, one hundred four million, four hundred fifty-three thousand, two hundred sixteen".