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27807422792 = 231922921072
BaseRepresentation
bin11001111001011100…
…111001100101001000
32122202221120102212212
4121321130321211020
5423422200012132
620435145324252
72003044123322
oct317134714510
978687512785
1027807422792
111087a624356
125480796688
132812062236
1414bb180612
15acb3c65b2
hex679739948

27807422792 has 108 divisors (see below), whose sum is σ = 57528030105. Its totient is φ = 12598875072.

The previous prime is 27807422719. The next prime is 27807422813. The reversal of 27807422792 is 29722470872.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 27790890436 + 16532356 = 166706^2 + 4066^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=117914.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27807422792.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259882403 + ... + 259882509.

Almost surely, 227807422792 is an apocalyptic number.

It is an amenable number.

27807422792 is an abundant number, since it is smaller than the sum of its proper divisors (29720607313).

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

27807422792 is a wasteful number, since it uses less digits than its factorization.

27807422792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

Multiplying 27807422792 by its sum of digits (50), we get a square (1390371139600 = 11791402).

The spelling of 27807422792 in words is "twenty-seven billion, eight hundred seven million, four hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 19 29 38 58 76 107 116 152 214 232 361 428 551 722 841 856 1102 1444 1682 2033 2204 2888 3103 3364 4066 4408 6206 6728 8132 10469 11449 12412 15979 16264 20938 22898 24824 31958 38627 41876 45796 58957 63916 77254 83752 89987 91592 117914 127832 154508 179974 217531 235828 303601 309016 332021 359948 435062 471656 607202 664042 719896 870124 1120183 1214404 1328084 1709753 1740248 2240366 2428808 2656168 3419506 4133089 4480732 6308399 6839012 8266178 8961464 9628609 12616798 13678024 16532356 19257218 25233596 32485307 33064712 38514436 50467192 64970614 77028872 119859581 129941228 182943571 239719162 259882456 365887142 479438324 731774284 958876648 1463548568 3475927849 6951855698 13903711396 27807422792