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642246563145 = 3511231669101399
BaseRepresentation
bin10010101100010001110…
…00001101010101001001
32021101202021012211021010
421112020320031111021
541010310110010040
61211013300434133
764254316466415
oct11261070152511
92241667184233
10642246563145
112284144947a0
12a457b0a8949
1348743295375
1423128d6dd45
1511a8dbbce80
hex9588e0d549

642246563145 has 64 divisors (see below), whose sum is σ = 1170464256000. Its totient is φ = 297672080640.

The previous prime is 642246563137. The next prime is 642246563159. The reversal of 642246563145 is 541365642246.

It is not a de Polignac number, because 642246563145 - 23 = 642246563137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 642246563094 and 642246563103.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6283156 + ... + 6384554.

It is an arithmetic number, because the mean of its divisors is an integer number (18288504000).

Almost surely, 2642246563145 is an apocalyptic number.

It is an amenable number.

642246563145 is a deficient number, since it is larger than the sum of its proper divisors (528217692855).

642246563145 is a wasteful number, since it uses less digits than its factorization.

642246563145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103110.

The product of its digits is 4147200, while the sum is 48.

The spelling of 642246563145 in words is "six hundred forty-two billion, two hundred forty-six million, five hundred sixty-three thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 253 345 759 1265 1669 3795 5007 8345 18359 25035 38387 55077 91795 101399 115161 191935 275385 304197 422257 506995 575805 1115389 1266771 1520985 2111285 2332177 3346167 5576945 6333855 6996531 11660885 16730835 25653947 34982655 76961841 128269735 169234931 384809205 507704793 846174655 1861584241 2538523965 3892403413 5584752723 9307921205 11677210239 19462017065 27923763615 42816437543 58386051195 128449312629 214082187715 642246563145