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10065143298721 = 7279257372
BaseRepresentation
bin1001001001110111100101…
…0010100111101010100001
31022122012220010211201000211
42102131321102213222201
52304401403141024341
633223510224014121
72056116430266100
oct222357122475241
938565803751024
1010065143298721
11323066aaa3585
121166838161341
135801a6337c24
1426b226b06037
15126c3dea6181
hex927794a7aa1

10065143298721 has 27 divisors (see below), whose sum is σ = 11860583435379. Its totient is φ = 8516575031328.

The previous prime is 10065143298607. The next prime is 10065143298829. The reversal of 10065143298721 is 12789234156001.

It is a happy number.

The square root of 10065143298721 is 3172561.

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

10065143298721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87530181025 + 9977613117696 = 295855^2 + 3158736^2 .

It is not a de Polignac number, because 10065143298721 - 215 = 10065143265953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10065143298521) 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, 1754423365 + ... + 1754429101.

It is an arithmetic number, because the mean of its divisors is an integer number (439280867977).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10065143298721 = 20130286597442, but 3⋅10065143298721 = 30195429896163 is not.

Almost surely, 210065143298721 is an apocalyptic number.

10065143298721 is the 3172561-st square number.

10065143298721 is the 1586281-st centered octagonal number.

It is an amenable number.

10065143298721 is a deficient number, since it is larger than the sum of its proper divisors (1795440136658).

10065143298721 is an frugal number, since it uses more digits than its factorization.

10065143298721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 10065143298721 by its sum of digits (49), we get a square (493192021637329 = 222079272).

10065143298721 divided by its sum of digits (49) gives a square (205411087729 = 4532232).

The spelling of 10065143298721 in words is "ten trillion, sixty-five billion, one hundred forty-three million, two hundred ninety-eight thousand, seven hundred twenty-one".

Divisors: 1 7 49 79 553 3871 5737 6241 40159 43687 281113 305809 453223 3172561 22207927 32913169 35804617 230392183 250632319 1612745281 1754426233 2600140351 18200982457 127406877199 205411087729 1437877614103 10065143298721