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271838147161 = 7221123532
BaseRepresentation
bin1111110100101011010…
…0001111001001011001
3221222122212102200020111
43331022310033021121
513423211031202121
6324514122524321
725432255061200
oct3751264171131
9858585380214
10271838147161
11a5316602459
12448260666a1
131c832521c69
14d22aca0237
1571101262e1
hex3f4ad0f259

271838147161 has 27 divisors (see below), whose sum is σ = 318628283103. Its totient is φ = 231242901120.

The previous prime is 271838147153. The next prime is 271838147173. The reversal of 271838147161 is 161741838172.

The square root of 271838147161 is 521381.

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., 110439905625 + 161398241536 = 332325^2 + 401744^2 .

It is not a de Polignac number, because 271838147161 - 23 = 271838147153 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271838147101) 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, 770079561 + ... + 770079913.

Almost surely, 2271838147161 is an apocalyptic number.

271838147161 is the 521381-st square number.

271838147161 is the 260691-st centered octagonal number.

It is an amenable number.

271838147161 is a deficient number, since it is larger than the sum of its proper divisors (46790135942).

271838147161 is an frugal number, since it uses more digits than its factorization.

271838147161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

Multiplying 271838147161 by its sum of digits (49), we get a square (13320069210889 = 36496672).

271838147161 divided by its sum of digits (49) gives a square (5547717289 = 744832).

The spelling of 271838147161 in words is "two hundred seventy-one billion, eight hundred thirty-eight million, one hundred forty-seven thousand, one hundred sixty-one".

Divisors: 1 7 49 211 353 1477 2471 10339 17297 44521 74483 124609 311647 521381 872263 2181529 3649667 6105841 15715913 26292499 110011391 184047493 770079737 1288332451 5547717289 38834021023 271838147161