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71211057316 = 22763892
BaseRepresentation
bin100001001010010000…
…0101000000010100100
320210210211011112012021
41002110200220002210
52131320012313231
652414112032524
75100451000000
oct1022440500244
9223724145167
1071211057316
1128222870393
1211974532744
13693b310a09
1436377c3700
151cbbad2811
hex10948280a4

71211057316 has 63 divisors (see below), whose sum is σ = 145763777089. Its totient is φ = 30440569488.

The previous prime is 71211057301. The next prime is 71211057317. The reversal of 71211057316 is 61375011217.

It is a happy number.

The square root of 71211057316 is 266854.

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., 16810159716 + 54400897600 = 129654^2 + 233240^2 .

It is a super-3 number, since 3×712110573163 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71211057317) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 183061650 + ... + 183062038.

Almost surely, 271211057316 is an apocalyptic number.

71211057316 is the 266854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71211057316

71211057316 is an abundant number, since it is smaller than the sum of its proper divisors (74552719773).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71211057316 is an frugal number, since it uses more digits than its factorization.

71211057316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 71211057316 in words is "seventy-one billion, two hundred eleven million, fifty-seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 343 389 686 778 1372 1556 2401 2723 4802 5446 9604 10892 16807 19061 33614 38122 67228 76244 117649 133427 151321 235298 266854 302642 470596 533708 605284 933989 1059247 1867978 2118494 3735956 4236988 6537923 7414729 13075846 14829458 26151692 29658916 45765461 51903103 91530922 103806206 183061844 207612412 363321721 726643442 1453286884 2543252047 5086504094 10173008188 17802764329 35605528658 71211057316