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31916748559081 = 17243927572
BaseRepresentation
bin1110100000111001100100…
…11101011101001011101001
311012000012201002021020000111
413100130302131131023221
513140411000112342311
6151514204000534321
76502623532334131
oct720346235351351
9135005632236014
1031916748559081
11a1958a9548101
1236b581a6213a1
1314a697605ba79
147c4ac9325ac1
153a5364127d21
hex1d073275d2e9

31916748559081 has 27 divisors (see below), whose sum is σ = 34027000115589. Its totient is φ = 29931274493568.

The previous prime is 31916748559079. The next prime is 31916748559099. The reversal of 31916748559081 is 18095584761913.

The square root of 31916748559081 is 5649491.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5173163742681 + 26743584816400 = 2274459^2 + 5171420^2 .

It is not a de Polignac number, because 31916748559081 - 21 = 31916748559079 is a prime.

It is a super-2 number, since 2×319167485590812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31916748558998 and 31916748559016.

It is not an unprimeable number, because it can be changed into a prime (31916748559781) 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, 42162150955 + ... + 42162151711.

Almost surely, 231916748559081 is an apocalyptic number.

31916748559081 is the 5649491-st square number.

31916748559081 is the 2824746-th centered octagonal number.

It is an amenable number.

31916748559081 is a deficient number, since it is larger than the sum of its proper divisors (2110251556508).

31916748559081 is an frugal number, since it uses more digits than its factorization.

31916748559081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 67.

The spelling of 31916748559081 in words is "thirty-one trillion, nine hundred sixteen billion, seven hundred forty-eight million, five hundred fifty-nine thousand, eighty-one".

Divisors: 1 17 289 439 757 7463 12869 126871 192721 218773 332323 573049 3276257 5649491 9741833 55696369 96041347 145889797 165611161 251568511 2480126549 4276664687 42162151333 72703299679 110438576329 1877455797593 31916748559081