Search a number
-
+
2753901404160 = 21335373071973
BaseRepresentation
bin101000000100110001010…
…100001010000000000000
3100202021022010100021201020
4220010301110022000000
5330104442224413120
65505042544305440
7402651146464344
oct50046124120000
910667263307636
102753901404160
11971a17604195
12385884012280
1316c8cbb210aa
149740a6d1624
154b97e1c6640
hex2813150a000

2753901404160 has 448 divisors, whose sum is σ = 9084188437632. Its totient is φ = 711837351936.

The previous prime is 2753901404117. The next prime is 2753901404179. The reversal of 2753901404160 is 614041093572.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395792934 + ... + 1395794906.

It is an arithmetic number, because the mean of its divisors is an integer number (20277206334).

Almost surely, 22753901404160 is an apocalyptic number.

2753901404160 is a gapful number since it is divisible by the number (20) 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 2753901404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542094218816).

2753901404160 is an abundant number, since it is smaller than the sum of its proper divisors (6330287033472).

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

2753901404160 is a wasteful number, since it uses less digits than its factorization.

2753901404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 2753901404160 in words is "two trillion, seven hundred fifty-three billion, nine hundred one million, four hundred four thousand, one hundred sixty".