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10564412364 = 223511988067
BaseRepresentation
bin10011101011011000…
…00010001111001100
31000021020210202100000
421311230002033030
5133113442143424
64504144004300
7522540011022
oct116554021714
930236722300
1010564412364
114531376410
12206a000690
13cc490599c
147230c4712
1541c6eb3c9
hex275b023cc

10564412364 has 72 divisors (see below), whose sum is σ = 30211167168. Its totient is φ = 3201333840.

The previous prime is 10564412317. The next prime is 10564412393. The reversal of 10564412364 is 46321446501.

10564412364 is a `hidden beast` number, since 1 + 0 + 5 + 644 + 1 + 2 + 3 + 6 + 4 = 666.

It is a super-2 number, since 2×105644123642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483342 + ... + 504725.

It is an arithmetic number, because the mean of its divisors is an integer number (419599544).

Almost surely, 210564412364 is an apocalyptic number.

It is an amenable number.

10564412364 is an abundant number, since it is smaller than the sum of its proper divisors (19646754804).

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

10564412364 is a wasteful number, since it uses less digits than its factorization.

10564412364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988097 (or 988083 counting only the distinct ones).

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

Adding to 10564412364 its reverse (46321446501), we get a palindrome (56885858865).

The spelling of 10564412364 in words is "ten billion, five hundred sixty-four million, four hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 988067 1976134 2964201 3952268 5928402 8892603 10868737 11856804 17785206 21737474 26677809 32606211 35570412 43474948 53355618 65212422 80033427 97818633 106711236 130424844 160066854 195637266 240100281 293455899 320133708 391274532 480200562 586911798 880367697 960401124 1173823596 1760735394 2641103091 3521470788 5282206182 10564412364