Search a number
-
+
5132275233120 = 2532572237940031
BaseRepresentation
bin100101010101111001101…
…1100010011000101100000
3200011122022002022012010100
41022223303130103011200
51133041344424424440
614525422405502400
71036536364456200
oct112536334230540
920148262265110
105132275233120
1116a9649630a42
126aa804711a00
132b2c8244bb89
1413a5910b4400
158d7801b3230
hex4aaf3713160

5132275233120 has 864 divisors, whose sum is σ = 21528735621120. Its totient is φ = 1107856189440.

The previous prime is 5132275233101. The next prime is 5132275233149. The reversal of 5132275233120 is 213325722315.

5132275233120 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 2 + 7 + 523 + 3 + 120 = 666.

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 143 ways as a sum of consecutive naturals, for example, 128187505 + ... + 128227535.

It is an arithmetic number, because the mean of its divisors is an integer number (24917518080).

Almost surely, 25132275233120 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 5132275233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764367810560).

5132275233120 is an abundant number, since it is smaller than the sum of its proper divisors (16396460388000).

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

5132275233120 is a wasteful number, since it uses less digits than its factorization.

5132275233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40168 (or 40150 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 5132275233120 in words is "five trillion, one hundred thirty-two billion, two hundred seventy-five million, two hundred thirty-three thousand, one hundred twenty".