Search a number
-
+
13042507896 = 2335111947683
BaseRepresentation
bin11000010010110010…
…01110000001111000
31020122221210001100000
430021121032001320
5203202340223041
65554110113000
7641130326235
oct141131160170
936587701300
1013042507896
115593179250
12263baab760
1312cb135bc2
148ba27278c
1551504bbb6
hex30964e078

13042507896 has 384 divisors, whose sum is σ = 43023052800. Its totient is φ = 3659230080.

The previous prime is 13042507889. The next prime is 13042507901. The reversal of 13042507896 is 69870524031.

13042507896 is a `hidden beast` number, since 1 + 304 + 250 + 7 + 8 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19095571 + ... + 19096253.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

It is a 1-persistent number, because it is pandigital, but 2⋅13042507896 = 26085015792 is not.

Almost surely, 213042507896 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 13042507896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

13042507896 is an abundant number, since it is smaller than the sum of its proper divisors (29980544904).

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

13042507896 is a wasteful number, since it uses less digits than its factorization.

13042507896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13042507896 in words is "thirteen billion, forty-two million, five hundred seven thousand, eight hundred ninety-six".