Search a number
-
+
6126375878964 = 223311233201710973
BaseRepresentation
bin101100100100110100001…
…1101010100000100110100
3210200200020200001101002000
41121021220131110010310
51300333304211111324
621010230200415300
71201421206522035
oct131115035240464
923620220041060
106126375878964
111a521aa518830
1282b3baa77530
1335593a45a3c3
14172737c2aa8c
15a9563a729c9
hex59268754134

6126375878964 has 192 divisors, whose sum is σ = 17411703079680. Its totient is φ = 1847424983040.

The previous prime is 6126375878911. The next prime is 6126375878977. The reversal of 6126375878964 is 4698785736216.

6126375878964 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 37 + 587 + 8 + 9 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6126375878892 and 6126375878901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558308182 + ... + 558319154.

It is an arithmetic number, because the mean of its divisors is an integer number (90685953540).

Almost surely, 26126375878964 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 6126375878964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705851539840).

6126375878964 is an abundant number, since it is smaller than the sum of its proper divisors (11285327200716).

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

6126375878964 is a wasteful number, since it uses less digits than its factorization.

6126375878964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13239 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 6126375878964 in words is "six trillion, one hundred twenty-six billion, three hundred seventy-five million, eight hundred seventy-eight thousand, nine hundred sixty-four".