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10064064546 = 2321075225371
BaseRepresentation
bin10010101111101110…
…10111000000100010
3221222101022110011100
421113313113000202
5131102400031141
64342351455230
7504253065024
oct112767270042
927871273140
1010064064546
1142a49a1718
121b4a527516
13c4505b4a3
146b687c014
153dd8150b6
hex257dd7022

10064064546 has 24 divisors (see below), whose sum is σ = 22009266864. Its totient is φ = 3323335320.

The previous prime is 10064064539. The next prime is 10064064607. The reversal of 10064064546 is 64546046001.

10064064546 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 0 + 645 + 4 + 6 = 666.

10064064546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100640645462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10064064546.

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 11 ways as a sum of consecutive naturals, for example, 2610760 + ... + 2614611.

It is an arithmetic number, because the mean of its divisors is an integer number (917052786).

Almost surely, 210064064546 is an apocalyptic number.

10064064546 is an abundant number, since it is smaller than the sum of its proper divisors (11945202318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10064064546 is a wasteful number, since it uses less digits than its factorization.

10064064546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225486 (or 5225483 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10064064546 in words is "ten billion, sixty-four million, sixty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 5225371 10450742 15676113 31352226 47028339 94056678 559114697 1118229394 1677344091 3354688182 5032032273 10064064546