Search a number
-
+
8933613104 = 241329413511
BaseRepresentation
bin10000101000111110…
…00001111000110000
3212001121011120022102
420110133001320300
5121244001104404
64034250155532
7434245313153
oct102437017060
925047146272
108933613104
113874878829
121893a22ba8
13ac4aa8200
1460a693c9a
1537446671e
hex2147c1e30

8933613104 has 60 divisors (see below), whose sum is σ = 18768008592. Its totient is φ = 4117651200.

The previous prime is 8933613023. The next prime is 8933613109. The reversal of 8933613104 is 4013163398.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8933613109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2542709 + ... + 2546219.

Almost surely, 28933613104 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 8933613104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384004296).

8933613104 is an abundant number, since it is smaller than the sum of its proper divisors (9834395488).

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

8933613104 is a wasteful number, since it uses less digits than its factorization.

8933613104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 8933613104 is about 94517.7925260636. The cubic root of 8933613104 is about 2074.9567401055.

The spelling of 8933613104 in words is "eight billion, nine hundred thirty-three million, six hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 941 1352 1882 2704 3511 3764 7022 7528 12233 14044 15056 24466 28088 45643 48932 56176 91286 97864 159029 182572 195728 318058 365144 593359 636116 730288 1186718 1272232 2373436 2544464 3303851 4746872 6607702 9493744 13215404 26430808 42950063 52861616 85900126 171800252 343600504 558350819 687201008 1116701638 2233403276 4466806552 8933613104