Search a number
-
+
5029238455696 = 2472132327691213
BaseRepresentation
bin100100100101111010111…
…1110001011110110010000
3122210210100021102120101201
41021023311332023312100
51124344340021040241
614410222242040544
71026231134351200
oct111136576136620
918723307376351
105029238455696
111669984aa6034
12692849949154
132a634174c120
141355b89d6400
158ac4e56c931
hex492f5f8bd90

5029238455696 has 360 divisors, whose sum is σ = 12787896964920. Its totient is φ = 1899043356672.

The previous prime is 5029238455669. The next prime is 5029238455699. The reversal of 5029238455696 is 6965548329205.

It can be written as a sum of positive squares in 4 ways, for example, as 109998355600 + 4919240100096 = 331660^2 + 2217936^2 .

It is not an unprimeable number, because it can be changed into a prime (5029238455699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146115186 + ... + 4146116398.

Almost surely, 25029238455696 is an apocalyptic number.

5029238455696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5029238455696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393948482460).

5029238455696 is an abundant number, since it is smaller than the sum of its proper divisors (7758658509224).

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

5029238455696 is a wasteful number, since it uses less digits than its factorization.

5029238455696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 64.

The spelling of 5029238455696 in words is "five trillion, twenty-nine billion, two hundred thirty-eight million, four hundred fifty-five thousand, six hundred ninety-six".