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642363560241 = 31337344998347
BaseRepresentation
bin10010101100011111101…
…10100001000100110001
32021102001102100220002220
421112033312201010301
541011030032411431
61211033040231253
764260240113004
oct11261766410461
92242042326086
10642363560241
11228474535407
12a45b230b529
13487615aa510
142313a70753b
1511a990cdb96
hex958fda1131

642363560241 has 32 divisors (see below), whose sum is σ = 926910230400. Its totient is φ = 393358823424.

The previous prime is 642363560231. The next prime is 642363560261. The reversal of 642363560241 is 142065363246.

It is a happy number.

It is not a de Polignac number, because 642363560241 - 230 = 641289818417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 642363560193 and 642363560202.

It is not an unprimeable number, because it can be changed into a prime (642363560231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6482430 + ... + 6580776.

It is an arithmetic number, because the mean of its divisors is an integer number (28965944700).

Almost surely, 2642363560241 is an apocalyptic number.

It is an amenable number.

642363560241 is a deficient number, since it is larger than the sum of its proper divisors (284546670159).

642363560241 is a wasteful number, since it uses less digits than its factorization.

642363560241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99185.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 642363560241 in words is "six hundred forty-two billion, three hundred sixty-three million, five hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 13 39 373 449 1119 1347 4849 5837 14547 17511 98347 167477 295041 502431 1278511 2177201 3835533 6531603 36683431 44157803 110050293 132473409 476884603 574051439 1430653809 1722154317 16470860519 49412581557 214121186747 642363560241