Search a number
-
+
5122201480704 = 293372111997373
BaseRepresentation
bin100101010001001101011…
…1111111110111000000000
3200010200022000202112201000
41022202122333332320000
51132410232034340304
614521035030212000
71036031633131500
oct112423277767000
920120260675630
105122201480704
1116a534a222720
126a8872ab4000
132b20383aac29
14139cb7233a00
158d390ad7939
hex4a89affee00

5122201480704 has 1920 divisors, whose sum is σ = 20517261811200. Its totient is φ = 1244080373760.

The previous prime is 5122201480651. The next prime is 5122201480771. The reversal of 5122201480704 is 4070841022215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13732443462 + ... + 13732443834.

It is an arithmetic number, because the mean of its divisors is an integer number (10686073860).

Almost surely, 25122201480704 is an apocalyptic number.

5122201480704 is a gapful number since it is divisible by the number (54) 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 5122201480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258630905600).

5122201480704 is an abundant number, since it is smaller than the sum of its proper divisors (15395060330496).

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

5122201480704 is a wasteful number, since it uses less digits than its factorization.

5122201480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 5122201480704 in words is "five trillion, one hundred twenty-two billion, two hundred one million, four hundred eighty thousand, seven hundred four".