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10746155745 = 3251318369497
BaseRepresentation
bin10100000001000010…
…10101001011100001
31000201220210021101100
422000201111023201
5134002003440440
64534155225013
7530204550063
oct120041251341
930656707340
1010746155745
114614a19956
1220baa48169
13102346a250
1473d2b3733
1542d64b230
hex2808552e1

10746155745 has 24 divisors (see below), whose sum is σ = 20059491816. Its totient is φ = 5290414848.

The previous prime is 10746155743. The next prime is 10746155759. The reversal of 10746155745 is 54755164701.

10746155745 is a `hidden beast` number, since 1 + 0 + 74 + 6 + 1 + 5 + 574 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59351616 + 10686804129 = 7704^2 + 103377^2 .

It is not a de Polignac number, because 10746155745 - 21 = 10746155743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10746155745.

It is not an unprimeable number, because it can be changed into a prime (10746155743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9184164 + ... + 9185333.

It is an arithmetic number, because the mean of its divisors is an integer number (835812159).

Almost surely, 210746155745 is an apocalyptic number.

10746155745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10746155745 is a deficient number, since it is larger than the sum of its proper divisors (9313336071).

10746155745 is a wasteful number, since it uses less digits than its factorization.

10746155745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369521 (or 18369518 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 10746155745 in words is "ten billion, seven hundred forty-six million, one hundred fifty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 18369497 55108491 91847485 165325473 238803461 275542455 716410383 826627365 1194017305 2149231149 3582051915 10746155745