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5111144136 = 2332721448737
BaseRepresentation
bin1001100001010010…
…11101111011001000
3111012012112000122200
410300221131323020
540431423103021
62203101320200
7240442002600
oct46051357310
914165460580
105111144136
11219312026a
12ba7866060
13635ba4957
14366b53c00
151edaad126
hex130a5dec8

5111144136 has 72 divisors (see below), whose sum is σ = 16102722870. Its totient is φ = 1460325888.

The previous prime is 5111144123. The next prime is 5111144141. The reversal of 5111144136 is 6314411115.

5111144136 is a `hidden beast` number, since 511 + 1 + 14 + 4 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4761828036 + 349316100 = 69006^2 + 18690^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51111441362 = 52247588757934372992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 720841 + ... + 727896.

Almost surely, 25111144136 is an apocalyptic number.

5111144136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5111144136 is an abundant number, since it is smaller than the sum of its proper divisors (10991578734).

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

5111144136 is a wasteful number, since it uses less digits than its factorization.

5111144136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448763 (or 1448749 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 5111144136 is about 71492.2662670586. The cubic root of 5111144136 is about 1722.5534608025.

The spelling of 5111144136 in words is "five billion, one hundred eleven million, one hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 1448737 2897474 4346211 5794948 8692422 10141159 11589896 13038633 17384844 20282318 26077266 30423477 34769688 40564636 52154532 60846954 70988113 81129272 91270431 104309064 121693908 141976226 182540862 212964339 243387816 283952452 365081724 425928678 567904904 638893017 730163448 851857356 1277786034 1703714712 2555572068 5111144136