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10064979576 = 2332148794009
BaseRepresentation
bin10010101111110101…
…10110011001111000
3221222110000221100100
421113322312121320
5131103113321301
64342423235400
7504263625531
oct112772663170
927873027310
1010064979576
1142a5467143
121b4a8a8b60
13c452bbb22
146b6a39688
153dd946286
hex257eb6678

10064979576 has 48 divisors (see below), whose sum is σ = 27277941600. Its totient is φ = 3352701312.

The previous prime is 10064979553. The next prime is 10064979577. The reversal of 10064979576 is 67597946001.

10064979576 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 9 + 7 + 9 + 576 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064979577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60060 + ... + 154068.

It is an arithmetic number, because the mean of its divisors is an integer number (568290450).

Almost surely, 210064979576 is an apocalyptic number.

It is an amenable number.

10064979576 is an abundant number, since it is smaller than the sum of its proper divisors (17212962024).

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

10064979576 is a wasteful number, since it uses less digits than its factorization.

10064979576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95508 (or 95501 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10064979576 in words is "ten billion, sixty-four million, nine hundred seventy-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1487 2974 4461 5948 8922 11896 13383 17844 26766 35688 53532 94009 107064 188018 282027 376036 564054 752072 846081 1128108 1692162 2256216 3384324 6768648 139791383 279582766 419374149 559165532 838748298 1118331064 1258122447 1677496596 2516244894 3354993192 5032489788 10064979576