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10066264428 = 22311226332
BaseRepresentation
bin10010101111111111…
…10000000101101100
3221222112110012211110
421113333300011230
5131103430430203
64342510552020
7504310556463
oct112777600554
927875405743
1010066264428
1142a6164500
121b4b208610
13c4564b8ac
146b6c919da
153ddaebd03
hex257ff016c

10066264428 has 54 divisors (see below), whose sum is σ = 25827142852. Its totient is φ = 3049224640.

The previous prime is 10066264427. The next prime is 10066264441. The reversal of 10066264428 is 82446266001.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10066264423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3821800 + ... + 3824432.

Almost surely, 210066264428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066264428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913571426).

10066264428 is an abundant number, since it is smaller than the sum of its proper divisors (15760878424).

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

10066264428 is an equidigital number, since it uses as much as digits as its factorization.

10066264428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 10066264428 in words is "ten billion, sixty-six million, two hundred sixty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2633 5266 7899 10532 15798 28963 31596 57926 86889 115852 173778 318593 347556 637186 955779 1274372 1911558 3823116 6932689 13865378 20798067 27730756 41596134 76259579 83192268 152519158 228778737 305038316 457557474 838855369 915114948 1677710738 2516566107 3355421476 5033132214 10066264428