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10144167720 = 2335130364877
BaseRepresentation
bin10010111001010001…
…11011011100101000
3222011222001010001120
421130220323130220
5131233401331340
64354332415240
7506245001001
oct113450733450
928158033046
1010144167720
114336133395
121b71317520
13c5882680b
146c33701a8
153e58894d0
hex25ca3b728

10144167720 has 64 divisors (see below), whose sum is σ = 30456328320. Its totient is φ = 2702993664.

The previous prime is 10144167713. The next prime is 10144167751. The reversal of 10144167720 is 2776144101.

10144167720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123922 + ... + 188798.

It is an arithmetic number, because the mean of its divisors is an integer number (475880130).

Almost surely, 210144167720 is an apocalyptic number.

10144167720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144167720 is an abundant number, since it is smaller than the sum of its proper divisors (20312160600).

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

10144167720 is a wasteful number, since it uses less digits than its factorization.

10144167720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66194 (or 66190 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10144167720 in words is "ten billion, one hundred forty-four million, one hundred sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1303 2606 3909 5212 6515 7818 10424 13030 15636 19545 26060 31272 39090 52120 64877 78180 129754 156360 194631 259508 324385 389262 519016 648770 778524 973155 1297540 1557048 1946310 2595080 3892620 7785240 84534731 169069462 253604193 338138924 422673655 507208386 676277848 845347310 1014416772 1268020965 1690694620 2028833544 2536041930 3381389240 5072083860 10144167720