Search a number
-
+
1057052175712 = 25136141655587
BaseRepresentation
bin11110110000111010011…
…10000010110101100000
310202001102210011020111221
433120131032002311200
5114304320324110322
62125334132344424
7136240511146561
oct17303516026540
93661383136457
101057052175712
11378325439a35
12150a44775114
13788ab0abcb0
14392395d6168
151c76a2ce9c7
hexf61d382d60

1057052175712 has 48 divisors (see below), whose sum is σ = 2277894174192. Its totient is φ = 479872350720.

The previous prime is 1057052175679. The next prime is 1057052175713. The reversal of 1057052175712 is 2175712507501.

It is a super-2 number, since 2×10570521757122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057052175713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20802418 + ... + 20853169.

It is an arithmetic number, because the mean of its divisors is an integer number (47456128629).

Almost surely, 21057052175712 is an apocalyptic number.

It is an amenable number.

1057052175712 is an abundant number, since it is smaller than the sum of its proper divisors (1220841998480).

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

1057052175712 is a wasteful number, since it uses less digits than its factorization.

1057052175712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41655671 (or 41655663 counting only the distinct ones).

The product of its (nonzero) digits is 171500, while the sum is 43.

The spelling of 1057052175712 in words is "one trillion, fifty-seven billion, fifty-two million, one hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 41655587 83311174 166622348 333244696 541522631 666489392 1083045262 1332978784 2166090524 2540990807 4332181048 5081981614 8664362096 10163963228 17328724192 20327926456 33032880491 40655852912 66065760982 81311705824 132131521964 264263043928 528526087856 1057052175712