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10057087938141 = 328982715182183
BaseRepresentation
bin1001001001011001100100…
…1001110110111001011101
31022121110002202020222200200
42102112121021312321131
52304233404003010031
633220055025414113
72055413004663606
oct222263111667135
938543082228620
1010057087938141
113228206a53992
12116516a49a339
1357c4c14b078a
1426aaa0d4adad
1512691bbc28e6
hex92599276e5d

10057087938141 has 24 divisors (see below), whose sum is σ = 14707892571840. Its totient is φ = 6621374671296.

The previous prime is 10057087938083. The next prime is 10057087938151. The reversal of 10057087938141 is 14183978075001.

10057087938141 is a `hidden beast` number, since 100 + 57 + 0 + 8 + 79 + 381 + 41 = 666.

It is not a de Polignac number, because 10057087938141 - 26 = 10057087938077 is a prime.

It is a super-2 number, since 2×100570879381412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057087938151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6928665 + ... + 8253518.

It is an arithmetic number, because the mean of its divisors is an integer number (612828857160).

Almost surely, 210057087938141 is an apocalyptic number.

It is an amenable number.

10057087938141 is a deficient number, since it is larger than the sum of its proper divisors (4650804633699).

10057087938141 is a wasteful number, since it uses less digits than its factorization.

10057087938141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183105 (or 15183102 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 10057087938141 in words is "ten trillion, fifty-seven billion, eighty-seven million, nine hundred thirty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 89 267 801 827 2481 7443 73603 220809 662427 15182183 45546549 136639647 1351214287 4053642861 12160928583 12555665341 37666996023 113000988069 1117454215349 3352362646047 10057087938141