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71116088976 = 24327123132
BaseRepresentation
bin100001000111011011…
…0010110011010010000
320210120012110122010100
41002032312112122100
52131121204321401
652400440332400
75065215532242
oct1021666263220
9223505418110
1071116088976
11281841a6259
1211948774100
13692473c52a
143628d42092
151cb35c3b86
hex108ed96690

71116088976 has 135 divisors (see below), whose sum is σ = 202515954537. Its totient is φ = 23296815360.

The previous prime is 71116088963. The next prime is 71116088977. The reversal of 71116088976 is 67988061117.

The square root of 71116088976 is 266676.

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., 453690000 + 70662398976 = 21300^2 + 265824^2 .

It is a super-2 number, since 2×711160889762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71116088977) 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, 227207796 + ... + 227208108.

Almost surely, 271116088976 is an apocalyptic number.

71116088976 is the 266676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71116088976

71116088976 is an abundant number, since it is smaller than the sum of its proper divisors (131399865561).

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

71116088976 is an equidigital number, since it uses as much as digits as its factorization.

71116088976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 71116088976 in words is "seventy-one billion, one hundred sixteen million, eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 313 426 568 626 639 852 939 1136 1252 1278 1704 1878 2504 2556 2817 3408 3756 5008 5041 5112 5634 7512 10082 10224 11268 15024 15123 20164 22223 22536 30246 40328 44446 45072 45369 60492 66669 80656 88892 90738 97969 120984 133338 177784 181476 195938 200007 241968 266676 293907 355568 362952 391876 400014 533352 587814 725904 783752 800028 881721 1066704 1175628 1567504 1577833 1600056 1763442 2351256 3155666 3200112 3526884 4702512 4733499 6311332 6955799 7053768 9466998 12622664 13911598 14107536 14200497 18933996 20867397 25245328 27823196 28400994 37867992 41734794 55646392 56801988 62602191 75735984 83469588 111292784 113603976 125204382 166939176 227207952 250408764 333878352 493861729 500817528 987723458 1001635056 1481585187 1975446916 2963170374 3950893832 4444755561 5926340748 7901787664 8889511122 11852681496 17779022244 23705362992 35558044488 71116088976