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745812136064 = 2741142113593
BaseRepresentation
bin10101101101001011101…
…11100001000010000000
32122022001221010001001002
422312211313201002000
544204410401323224
61330342114231132
7104611630362302
oct12664567410200
92568057101032
10745812136064
1126832a564576
12100662b854a8
13554396bcb68
142815177b972
1514600e689ae
hexada5de1080

745812136064 has 32 divisors (see below), whose sum is σ = 1522036591740. Its totient is φ = 363810795520.

The previous prime is 745812136037. The next prime is 745812136067. The reversal of 745812136064 is 460631218547.

It can be written as a sum of positive squares in 2 ways, for example, as 470606976064 + 275205160000 = 686008^2 + 524600^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (745812136067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71051549 + ... + 71062044.

Almost surely, 2745812136064 is an apocalyptic number.

It is an amenable number.

745812136064 is an abundant number, since it is smaller than the sum of its proper divisors (776224455676).

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

745812136064 is a wasteful number, since it uses less digits than its factorization.

745812136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142113648 (or 142113636 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 745812136064 in words is "seven hundred forty-five billion, eight hundred twelve million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 142113593 284227186 568454372 1136908744 2273817488 4547634976 5826657313 9095269952 11653314626 18190539904 23306629252 46613258504 93226517008 186453034016 372906068032 745812136064