Search a number
-
+
16479463104 = 26321323143127
BaseRepresentation
bin11110101100100000…
…01010011011000000
31120112111000110112100
433112100022123000
5232222220304404
611323124030400
71122243060636
oct172620123300
946474013470
1016479463104
116a972555a5
12323ab32400
1317281ca700
14b248dd356
15666b53d39
hex3d640a6c0

16479463104 has 504 divisors, whose sum is σ = 54451617792. Its totient is φ = 4755179520.

The previous prime is 16479463079. The next prime is 16479463129. The reversal of 16479463104 is 40136497461.

16479463104 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 9 + 4 + 631 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16479463079) and next prime (16479463129).

It is a self number, because there is not a number n which added to its sum of digits gives 16479463104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129759489 + ... + 129759615.

Almost surely, 216479463104 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 16479463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225808896).

16479463104 is an abundant number, since it is smaller than the sum of its proper divisors (37972154688).

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

16479463104 is a wasteful number, since it uses less digits than its factorization.

16479463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16479463104 in words is "sixteen billion, four hundred seventy-nine million, four hundred sixty-three thousand, one hundred four".