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420598831965 = 3513318237001
BaseRepresentation
bin1100001111011011010…
…01001101101101011101
31111012122020220110021020
412013231221031231131
523342341300110330
6521115340354353
742246555040464
oct6075551155535
91435566813236
10420598831965
11152414091774
12696218459b9
133087c0c3000
14164ddc099db
15ae1a001210
hex61eda4db5d

420598831965 has 64 divisors (see below), whose sum is σ = 729516533760. Its totient is φ = 206920896000.

The previous prime is 420598831949. The next prime is 420598832021. The reversal of 420598831965 is 569138895024.

It is not a de Polignac number, because 420598831965 - 24 = 420598831949 is a prime.

It is a super-2 number, since 2×4205988319652 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420598831899 and 420598831908.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60073465 + ... + 60080465.

It is an arithmetic number, because the mean of its divisors is an integer number (11398695840).

Almost surely, 2420598831965 is an apocalyptic number.

It is an amenable number.

420598831965 is a deficient number, since it is larger than the sum of its proper divisors (308917701795).

420598831965 is a wasteful number, since it uses less digits than its factorization.

420598831965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 420598831965 in words is "four hundred twenty billion, five hundred ninety-eight million, eight hundred thirty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 169 195 507 845 1823 2197 2535 5469 6591 7001 9115 10985 21003 23699 27345 32955 35005 71097 91013 105015 118495 273039 308087 355485 455065 924261 1183169 1365195 1540435 3549507 4005131 4621305 5915845 12015393 12762823 15381197 17747535 20025655 38288469 46143591 60076965 63814115 76905985 165916699 191442345 230717955 497750097 829583495 2156917087 2488750485 6470751261 10784585435 28039922131 32353756305 84119766393 140199610655 420598831965