Search a number
-
+
10261342848 = 27366140427
BaseRepresentation
bin10011000111001111…
…11010101010000000
3222111010112020010010
421203213322222000
5132003400432343
64414120104520
7512166655311
oct114347725200
928433466103
1010261342848
114396295839
121ba4605140
13c76ba1a03
146d4b52608
15400cd2d33
hex2639faa80

10261342848 has 64 divisors (see below), whose sum is σ = 27298602720. Its totient is φ = 3415188480.

The previous prime is 10261342837. The next prime is 10261342849. The reversal of 10261342848 is 84824316201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102613428482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10261342849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233611 + ... + 274037.

Almost surely, 210261342848 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 10261342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649301360).

10261342848 is an abundant number, since it is smaller than the sum of its proper divisors (17037259872).

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

10261342848 is an equidigital number, since it uses as much as digits as its factorization.

10261342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41105 (or 41093 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10261342848 in words is "ten billion, two hundred sixty-one million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 661 1322 1983 2644 3966 5288 7932 10576 15864 21152 31728 40427 42304 63456 80854 84608 121281 126912 161708 242562 253824 323416 485124 646832 970248 1293664 1940496 2587328 3880992 5174656 7761984 15523968 26722247 53444494 80166741 106888988 160333482 213777976 320666964 427555952 641333928 855111904 1282667856 1710223808 2565335712 3420447616 5130671424 10261342848