Search a number
-
+
4786685832096 = 253473075471571
BaseRepresentation
bin100010110100111110010…
…1101010110101110100000
3121221121021100212122010000
41011221330231112232200
51111411113033111341
614102550105340000
71002553352152110
oct105517455265640
917847240778100
104786685832096
1115860273aaa13
12653837497600
132894c858493c
14127969319040
15847a548d8b6
hex45a7cb56ba0

4786685832096 has 480 divisors, whose sum is σ = 16180790072832. Its totient is φ = 1359811514880.

The previous prime is 4786685832023. The next prime is 4786685832143. The reversal of 4786685832096 is 6902385866874.

4786685832096 is a `hidden beast` number, since 478 + 6 + 68 + 5 + 8 + 3 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×47866858320962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3046902991 + ... + 3046904561.

Almost surely, 24786685832096 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 4786685832096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090395036416).

4786685832096 is an abundant number, since it is smaller than the sum of its proper divisors (11394104240736).

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

4786685832096 is a wasteful number, since it uses less digits than its factorization.

4786685832096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 4786685832096 in words is "four trillion, seven hundred eighty-six billion, six hundred eighty-five million, eight hundred thirty-two thousand, ninety-six".