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10487357619561 = 3210794732
BaseRepresentation
bin1001100010011100011100…
…1110011011110101101001
31101010120200222120111102100
42120213013032123311221
52333311102022311221
634145454154124013
72131454332636644
oct230470716336551
941116628514370
1010487357619561
113383732a75a19
12121462aa20609
135b0c520279c4
1428383b2b8a5b
15132c00c15926
hex989c739bd69

10487357619561 has 9 divisors (see below), whose sum is σ = 15148419483639. Its totient is φ = 6991565269536.

The previous prime is 10487357619559. The next prime is 10487357619569. The reversal of 10487357619561 is 16591675378401.

The square root of 10487357619561 is 3238419.

It is a perfect power (a square), and thus also a powerful number.

10487357619561 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 3 + 5 + 7 + 61 + 9 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5906285181225 + 4581072438336 = 2430285^2 + 2140344^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10487357619561 - 21 = 10487357619559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10487357619569) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9175521 + ... + 10254993.

Almost surely, 210487357619561 is an apocalyptic number.

10487357619561 is the 3238419-th square number.

10487357619561 is the 1619210-th centered octagonal number.

It is an amenable number.

10487357619561 is a deficient number, since it is larger than the sum of its proper divisors (4661061864078).

10487357619561 is an frugal number, since it uses more digits than its factorization.

10487357619561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158952 (or 1079476 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 10487357619561 in words is "ten trillion, four hundred eighty-seven billion, three hundred fifty-seven million, six hundred nineteen thousand, five hundred sixty-one".

Divisors: 1 3 9 1079473 3238419 9715257 1165261957729 3495785873187 10487357619561