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10564365448 = 2371397149603
BaseRepresentation
bin10011101011010111…
…10110110010001000
31000021020201100222101
421311223312302020
5133113434143243
64504143003144
7522536424160
oct116553666210
930236640871
1010564365448
11453134413a
122069b994b4
13cc48ba520
147230b15a0
1541c6dc54d
hex275af6c88

10564365448 has 64 divisors (see below), whose sum is σ = 24630802560. Its totient is φ = 4136196096.

The previous prime is 10564365421. The next prime is 10564365463. The reversal of 10564365448 is 84456346501.

It is a super-2 number, since 2×105643654482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10564365398 and 10564365407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4186 + ... + 145417.

It is an arithmetic number, because the mean of its divisors is an integer number (384856290).

Almost surely, 210564365448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10564365448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315401280).

10564365448 is an abundant number, since it is smaller than the sum of its proper divisors (14066437112).

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

10564365448 is a wasteful number, since it uses less digits than its factorization.

10564365448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149726 (or 149722 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 10564365448 in words is "ten billion, five hundred sixty-four million, three hundred sixty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 97 104 182 194 364 388 679 728 776 1261 1358 2522 2716 5044 5432 8827 10088 17654 35308 70616 149603 299206 598412 1047221 1196824 1944839 2094442 3889678 4188884 7779356 8377768 13613873 14511491 15558712 27227746 29022982 54455492 58045964 101580437 108910984 116091928 188649383 203160874 377298766 406321748 754597532 812643496 1320545681 1509195064 2641091362 5282182724 10564365448