Search a number
-
+
10057250883618 = 2321732866832953
BaseRepresentation
bin1001001001011010001011…
…0111011100100000100010
31022121110112002212110212100
42102112202313130200202
52304234222211233433
633220123130111230
72055420024001401
oct222264267344042
938543462773770
1010057250883618
11322828aa28274
1211651b4b7b516
1357c519192b13
1426aab8845638
1512692b15cb13
hex925a2ddc822

10057250883618 has 24 divisors (see below), whose sum is σ = 23072516733708. Its totient is φ = 3155215963392.

The previous prime is 10057250883611. The next prime is 10057250883623. The reversal of 10057250883618 is 81638805275001.

10057250883618 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 72 + 508 + 8 + 3 + 61 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9725996534409 + 331254349209 = 3118653^2 + 575547^2 .

It is a super-2 number, since 2×100572508836182 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10057250883611) 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 11 ways as a sum of consecutive naturals, for example, 16433416171 + ... + 16433416782.

Almost surely, 210057250883618 is an apocalyptic number.

10057250883618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10057250883618 is an abundant number, since it is smaller than the sum of its proper divisors (13015265850090).

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

10057250883618 is a wasteful number, since it uses less digits than its factorization.

10057250883618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32866832978 (or 32866832975 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10057250883618 in words is "ten trillion, fifty-seven billion, two hundred fifty million, eight hundred eighty-three thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 32866832953 65733665906 98600498859 197200997718 295801496577 558736160201 591602993154 1117472320402 1676208480603 3352416961206 5028625441809 10057250883618