Search a number
-
+
2051357747328 = 27341769116843
BaseRepresentation
bin11101110110011110011…
…100110010100010000000
321021002220122111201210000
4131312132130302202000
5232102140040403303
64210214123440000
7301130362103601
oct35663634624200
97232818451700
102051357747328
11720a80a7356a
12291697686000
1311b5996aa886
1471401653da8
1538561b6cda3
hex1dd9e732880

2051357747328 has 320 divisors, whose sum is σ = 6473652498720. Its totient is φ = 642593710080.

The previous prime is 2051357747303. The next prime is 2051357747347. The reversal of 2051357747328 is 8237477531502.

2051357747328 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 3 + 577 + 47 + 3 + 28 = 666.

It is a super-2 number, since 2×20513577473282 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121784475 + ... + 121801317.

Almost surely, 22051357747328 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 2051357747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236826249360).

2051357747328 is an abundant number, since it is smaller than the sum of its proper divisors (4422294751392).

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

2051357747328 is a wasteful number, since it uses less digits than its factorization.

2051357747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2051357747328 in words is "two trillion, fifty-one billion, three hundred fifty-seven million, seven hundred forty-seven thousand, three hundred twenty-eight".