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4064103311643 = 321959795099053
BaseRepresentation
bin111011001000111111011…
…011110010100100011011
3112101112011100101100001200
4323020333123302210123
51013041240421433033
612351005010245243
7566423161111404
oct73107733624433
915345140340050
104064103311643
111327638406481
12557797b86823
132363216aa27b
141009bcb5a9ab
1570ab3a8e013
hex3b23f6f291b

4064103311643 has 48 divisors (see below), whose sum is σ = 6363619392000. Its totient is φ = 2491356014784.

The previous prime is 4064103311581. The next prime is 4064103311657. The reversal of 4064103311643 is 3461133014604.

4064103311643 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 0 + 3 + 3 + 1 + 1 + 643 = 666.

It is not a de Polignac number, because 4064103311643 - 218 = 4064103049499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4064103311598 and 4064103311607.

It is not an unprimeable number, because it can be changed into a prime (4064103311663) 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, 1752496 + ... + 3346557.

It is an arithmetic number, because the mean of its divisors is an integer number (132575404000).

Almost surely, 24064103311643 is an apocalyptic number.

4064103311643 is a deficient number, since it is larger than the sum of its proper divisors (2299516080357).

4064103311643 is a wasteful number, since it uses less digits than its factorization.

4064103311643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099216 (or 5099213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4064103311643 in words is "four trillion, sixty-four billion, one hundred three million, three hundred eleven thousand, six hundred forty-three".

Divisors: 1 3 9 19 57 59 79 171 177 237 531 711 1121 1501 3363 4503 4661 10089 13509 13983 41949 88559 265677 797031 5099053 15297159 45891477 96882007 290646021 300844127 402825187 871938063 902532381 1208475561 2707597143 3625426683 5716038413 7653678553 17148115239 22961035659 23766686033 51444345717 68883106977 71300058099 213900174297 451567034627 1354701103881 4064103311643