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197465585641 = 107241532
BaseRepresentation
bin1011011111100111011…
…1011011011111101001
3200212200201100002120221
42313321313123133221
511213402142220031
6230414152450041
720160244532602
oct2677167333751
9625621302527
10197465585641
11768211a2185
123232a9a9921
131580c2306cc
1497b3672da9
15520abeba11
hex2df9ddb7e9

197465585641 has 9 divisors (see below), whose sum is σ = 199376313591. Its totient is φ = 195573009552.

The previous prime is 197465585587. The next prime is 197465585699. The reversal of 197465585641 is 146585564791.

The square root of 197465585641 is 444371.

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., 2370229225 + 195095356416 = 48685^2 + 441696^2 .

It is not a de Polignac number, because 197465585641 - 217 = 197465454569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 197465585641.

It is not an unprimeable number, because it can be changed into a prime (197465585341) 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, 47545621 + ... + 47549773.

Almost surely, 2197465585641 is an apocalyptic number.

197465585641 is the 444371-st square number.

197465585641 is the 222186-th centered octagonal number.

It is an amenable number.

197465585641 is a deficient number, since it is larger than the sum of its proper divisors (1910727950).

197465585641 is an frugal number, since it uses more digits than its factorization.

197465585641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 4260 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 61.

The spelling of 197465585641 in words is "one hundred ninety-seven billion, four hundred sixty-five million, five hundred eighty-five thousand, six hundred forty-one".

Divisors: 1 107 4153 11449 444371 17247409 47547697 1845472763 197465585641