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675113652409 = 72107210972
BaseRepresentation
bin10011101001011111110…
…10001101000010111001
32101112120211102221201111
421310233322031002321
542030113043334114
61234050512320321
766526642235200
oct11645772150271
92345524387644
10675113652409
11240350069389
12aaa122430a1
134b880647391
14249660a4237
1512864384bc4
hex9d2fe8d0b9

675113652409 has 27 divisors (see below), whose sum is σ = 793467781743. Its totient is φ = 572738153568.

The previous prime is 675113652401. The next prime is 675113652463. The reversal of 675113652409 is 904256311576.

The square root of 675113652409 is 821653.

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

It can be written as a sum of positive squares in only one way, i.e., 191988567225 + 483125085184 = 438165^2 + 695072^2 .

It is not a de Polignac number, because 675113652409 - 23 = 675113652401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (675113652401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 615417549 + ... + 615418645.

Almost surely, 2675113652409 is an apocalyptic number.

675113652409 is the 821653-rd square number.

675113652409 is the 410827-th centered octagonal number.

It is an amenable number.

675113652409 is a deficient number, since it is larger than the sum of its proper divisors (118354129334).

675113652409 is an frugal number, since it uses more digits than its factorization.

675113652409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 675113652409 by its sum of digits (49), we get a square (33080568968041 = 57515712).

675113652409 divided by its sum of digits (49) gives a square (13777829641 = 1173792).

The spelling of 675113652409 in words is "six hundred seventy-five billion, one hundred thirteen million, six hundred fifty-two thousand, four hundred nine".

Divisors: 1 7 49 107 749 1097 5243 7679 11449 53753 80143 117379 561001 821653 1203409 5751571 8423863 12559553 58967041 87916871 128764763 615418097 901353341 6309473387 13777829641 96444807487 675113652409