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80052146280 = 233251931152161
BaseRepresentation
bin100101010001101111…
…0101101000001101000
321122121222020101020200
41022203132231001220
52302421322140110
6100435255152200
75532524005401
oct1124336550150
9248558211220
1080052146280
1130a4a393387
1213621375660
137719b920c2
143c35a709a8
152137d6e6c0
hex12a37ad068

80052146280 has 96 divisors (see below), whose sum is σ = 261517730760. Its totient is φ = 21236613120.

The previous prime is 80052146257. The next prime is 80052146281. The reversal of 80052146280 is 8264125008.

80052146280 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 21 + 4 + 628 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69883037316 + 10169108964 = 264354^2 + 100842^2 .

It is a super-2 number, since 2×800521462802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80052146281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506601 + ... + 645560.

Almost surely, 280052146280 is an apocalyptic number.

It is an amenable number.

80052146280 is an abundant number, since it is smaller than the sum of its proper divisors (181465584480).

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

80052146280 is a wasteful number, since it uses less digits than its factorization.

80052146280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152371 (or 1152364 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 80052146280 in words is "eighty billion, fifty-two million, one hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 772 965 1158 1544 1737 1930 2316 2895 3474 3860 4632 5790 6948 7720 8685 11580 13896 17370 23160 34740 69480 1152161 2304322 3456483 4608644 5760805 6912966 9217288 10369449 11521610 13825932 17282415 20738898 23043220 27651864 34564830 41477796 46086440 51847245 69129660 82955592 103694490 138259320 207388980 222367073 414777960 444734146 667101219 889468292 1111835365 1334202438 1778936584 2001303657 2223670730 2668404876 3335506095 4002607314 4447341460 5336809752 6671012190 8005214628 8894682920 10006518285 13342024380 16010429256 20013036570 26684048760 40026073140 80052146280