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10746461664 = 253237314103
BaseRepresentation
bin10100000001000100…
…11111110111100000
31000201221100211000200
422000202133313200
5134002043233124
64534205545200
7530210263011
oct120042376740
930657324020
1010746461664
114615108784
1220bab75200
131023546573
1473d353008
1542d6abbc9
hex28089fde0

10746461664 has 36 divisors (see below), whose sum is σ = 30560251176. Its totient is φ = 3582153792.

The previous prime is 10746461657. The next prime is 10746461689. The reversal of 10746461664 is 46616464701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18656764 + ... + 18657339.

It is an arithmetic number, because the mean of its divisors is an integer number (848895866).

Almost surely, 210746461664 is an apocalyptic number.

It is an amenable number.

10746461664 is an abundant number, since it is smaller than the sum of its proper divisors (19813789512).

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

10746461664 is a wasteful number, since it uses less digits than its factorization.

10746461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37314119 (or 37314108 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10746461664 in words is "ten billion, seven hundred forty-six million, four hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 37314103 74628206 111942309 149256412 223884618 298512824 335826927 447769236 597025648 671653854 895538472 1194051296 1343307708 1791076944 2686615416 3582153888 5373230832 10746461664