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420215653161 = 321719346130869
BaseRepresentation
bin1100001110101101100…
…11100000001100101001
31111011122112212221202200
412013112303200030221
523341100201400121
6521013331450413
742234223055223
oct6072663401451
91434575787680
10420215653161
11152237865877
1269535456a09
133081a8c0ca5
14164a4d83413
15ade6561a26
hex61d6ce0329

420215653161 has 48 divisors (see below), whose sum is σ = 647435028240. Its totient is φ = 261721128960.

The previous prime is 420215653153. The next prime is 420215653171. The reversal of 420215653161 is 161356512024.

420215653161 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 1 + 565 + 31 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53052369561 + 367163283600 = 230331^2 + 605940^2 .

It is not a de Polignac number, because 420215653161 - 23 = 420215653153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420215653171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13597435 + ... + 13628303.

It is an arithmetic number, because the mean of its divisors is an integer number (13488229755).

Almost surely, 2420215653161 is an apocalyptic number.

It is an amenable number.

420215653161 is a deficient number, since it is larger than the sum of its proper divisors (227219375079).

420215653161 is a wasteful number, since it uses less digits than its factorization.

420215653161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31546 (or 31543 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 420215653161 in words is "four hundred twenty billion, two hundred fifteen million, six hundred fifty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 193 461 579 1383 1737 3281 4149 7837 9843 23511 29529 30869 70533 88973 92607 266919 277821 524773 800757 1512541 1574319 4537623 4722957 5957717 13612869 14230609 17873151 42691827 53619453 101281189 128075481 241920353 303843567 725761059 911530701 2177283177 2746507537 8239522611 24718567833 46690628129 140071884387 420215653161