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664561003041 = 33133161075361
BaseRepresentation
bin10011010101110101110…
…11000010101000100001
32100112100101202211012000
421222322323002220201
541342010104044131
61225143424354213
766004304215455
oct11527273025041
92315311684160
10664561003041
112369253a7761
12a8968175969
134a88b2cc860
14242447a2665
1512447c0dce6
hex9abaec2a21

664561003041 has 32 divisors (see below), whose sum is σ = 1094470487040. Its totient is φ = 395768332800.

The previous prime is 664561003037. The next prime is 664561003097. The reversal of 664561003041 is 140300165466.

It is a happy number.

664561003041 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 610 + 0 + 30 + 4 + 1 = 666.

It is not a de Polignac number, because 664561003041 - 22 = 664561003037 is a prime.

It is a super-2 number, since 2×6645610030412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664561002987 and 664561003005.

It is not an unprimeable number, because it can be changed into a prime (664561003031) 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, 30526800 + ... + 30548561.

It is an arithmetic number, because the mean of its divisors is an integer number (34202202720).

Almost surely, 2664561003041 is an apocalyptic number.

It is an amenable number.

664561003041 is a deficient number, since it is larger than the sum of its proper divisors (429909483999).

664561003041 is a wasteful number, since it uses less digits than its factorization.

664561003041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61075414 (or 61075408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 664561003041 in words is "six hundred sixty-four billion, five hundred sixty-one million, three thousand, forty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 61075361 183226083 549678249 793979693 1649034747 1893336191 2381939079 5680008573 7145817237 17040025719 21437451711 24613370483 51120077157 73840111449 221520334347 664561003041