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3968754170271 = 3111729032436937
BaseRepresentation
bin111001110000001100001…
…011101011100110011111
3112001102001022011002110020
4321300030023223212133
51010011002031422041
612235115343243223
7556506266560452
oct71601413534637
915042038132406
103968754170271
1112a015929a2a0
125412078a9513
1322a3375b3ca7
14da135675499
156d382ce1866
hex39c0c2eb99f

3968754170271 has 32 divisors (see below), whose sum is σ = 6114413910528. Its totient is φ = 2263036247040.

The previous prime is 3968754170267. The next prime is 3968754170279. The reversal of 3968754170271 is 1720714578693.

It is not a de Polignac number, because 3968754170271 - 22 = 3968754170267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968754170279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410115 + ... + 2847051.

It is an arithmetic number, because the mean of its divisors is an integer number (191075434704).

It is a 1-persistent number, because it is pandigital, but 2⋅3968754170271 = 7937508340542 is not.

Almost surely, 23968754170271 is an apocalyptic number.

3968754170271 is a deficient number, since it is larger than the sum of its proper divisors (2145659740257).

3968754170271 is a wasteful number, since it uses less digits than its factorization.

3968754170271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439871.

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 3968754170271 in words is "three trillion, nine hundred sixty-eight billion, seven hundred fifty-four million, one hundred seventy thousand, two hundred seventy-one".

Divisors: 1 3 11 17 33 51 187 561 2903 8709 31933 49351 95799 148053 542861 1628583 2436937 7310811 26806307 41427929 80418921 124283787 455707219 1367121657 7074428111 21223284333 77818709221 120265277887 233456127663 360795833661 1322918056757 3968754170271