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71214793321 = 726725692
BaseRepresentation
bin100001001010010111…
…0111000001001101001
320210211002012100000211
41002110232320021221
52131321441341241
652414324101121
75100524520100
oct1022456701151
9223732170024
1071214793321
11282249922a1
12119758347a1
13693c01b379
1436380b7037
151cbc0be781
hex1094bb8269

71214793321 has 27 divisors (see below), whose sum is σ = 84244652919. Its totient is φ = 60024511008.

The previous prime is 71214793297. The next prime is 71214793337. The reversal of 71214793321 is 12339741217.

The square root of 71214793321 is 266861.

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., 11737338921 + 59477454400 = 108339^2 + 243880^2 .

It is not a de Polignac number, because 71214793321 - 213 = 71214785129 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71214793621) 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, 125157525 + ... + 125158093.

Almost surely, 271214793321 is an apocalyptic number.

71214793321 is the 266861-st square number.

71214793321 is the 133431-st centered octagonal number.

It is an amenable number.

71214793321 is a deficient number, since it is larger than the sum of its proper divisors (13029859598).

71214793321 is an frugal number, since it uses more digits than its factorization.

71214793321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 643 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The spelling of 71214793321 in words is "seventy-one billion, two hundred fourteen million, seven hundred ninety-three thousand, three hundred twenty-one".

Divisors: 1 7 49 67 469 569 3283 3983 4489 27881 31423 38123 219961 266861 323761 1868027 2266327 2554241 15864289 17879687 21691987 125157809 151843909 1062907363 1453363129 10173541903 71214793321