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81214170361 = 1925322832
BaseRepresentation
bin100101110100010111…
…1011110010011111001
321202121221210022121121
41023220233132103321
52312311311422421
6101150445305241
75603364025612
oct1135057362371
9252557708547
1081214170361
1131496311265
12138a6565221
13787384b10c
143d06116c09
1521a4da7d41
hex12e8bde4f9

81214170361 has 27 divisors (see below), whose sum is σ = 87671109519. Its totient is φ = 75221304912.

The previous prime is 81214170353. The next prime is 81214170379. The reversal of 81214170361 is 16307141218.

The square root of 81214170361 is 284981.

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., 58547061225 + 22667109136 = 241965^2 + 150556^2 .

It is not a de Polignac number, because 81214170361 - 23 = 81214170353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81214170311) 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, 286975726 + ... + 286976008.

Almost surely, 281214170361 is an apocalyptic number.

81214170361 is the 284981-st square number.

81214170361 is the 142491-st centered octagonal number.

It is an amenable number.

81214170361 is a deficient number, since it is larger than the sum of its proper divisors (6456939158).

81214170361 is an frugal number, since it uses more digits than its factorization.

81214170361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 81214170361 in words is "eighty-one billion, two hundred fourteen million, one hundred seventy thousand, three hundred sixty-one".

Divisors: 1 19 53 283 361 1007 2809 5377 14999 19133 53371 80089 102163 284981 794947 1014049 1521691 4244717 5414639 15103993 28912129 80649623 224970001 286975867 1532342837 4274430019 81214170361