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10745420256 = 253312436829
BaseRepresentation
bin10100000000111101…
…00001100111100000
31000201212101220111000
422000132201213200
5134001311422011
64534131352000
7530165364564
oct120036414740
930655356430
1010745420256
11461456730a
1220ba752600
13102327054c
1473d1616a4
1542d553356
hex2807a19e0

10745420256 has 48 divisors (see below), whose sum is σ = 31340811600. Its totient is φ = 3581806464.

The previous prime is 10745420221. The next prime is 10745420267. The reversal of 10745420256 is 65202454701.

It is a happy number.

10745420256 is a `hidden beast` number, since 107 + 4 + 542 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10745420256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6217551 + ... + 6219278.

It is an arithmetic number, because the mean of its divisors is an integer number (652933575).

Almost surely, 210745420256 is an apocalyptic number.

10745420256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10745420256 is an abundant number, since it is smaller than the sum of its proper divisors (20595391344).

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

10745420256 is a wasteful number, since it uses less digits than its factorization.

10745420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436848 (or 12436834 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 10745420256 its reverse (65202454701), we get a palindrome (75947874957).

The spelling of 10745420256 in words is "ten billion, seven hundred forty-five million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12436829 24873658 37310487 49747316 74620974 99494632 111931461 149241948 198989264 223862922 298483896 335794383 397978528 447725844 596967792 671588766 895451688 1193935584 1343177532 1790903376 2686355064 3581806752 5372710128 10745420256