Search a number
-
+
5079901962240 = 2153457149367
BaseRepresentation
bin100100111101100000111…
…0000001000000000000000
3122222122010002202100220000
41021323001300020000000
51131212114400242430
614445401424520000
71033003464143310
oct111730160100000
918878102670800
105079901962240
1116894132523a6
126a0628a80000
132ab056ac1771
14137c234c1440
158c2172c6e60
hex49ec1c08000

5079901962240 has 1280 divisors, whose sum is σ = 21010625856000. Its totient is φ = 1150185111552.

The previous prime is 5079901962197. The next prime is 5079901962241. The reversal of 5079901962240 is 422691099705.

5079901962240 is a `hidden beast` number, since 5 + 0 + 7 + 9 + 9 + 0 + 1 + 9 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5079901962241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13841694537 + ... + 13841694903.

It is an arithmetic number, because the mean of its divisors is an integer number (16414551450).

Almost surely, 25079901962240 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 5079901962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10505312928000).

5079901962240 is an abundant number, since it is smaller than the sum of its proper divisors (15930723893760).

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

5079901962240 is an equidigital number, since it uses as much as digits as its factorization.

5079901962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 5079901962240 in words is "five trillion, seventy-nine billion, nine hundred one million, nine hundred sixty-two thousand, two hundred forty".