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10142325666 = 232111910126693
BaseRepresentation
bin10010111001000011…
…11001101110100010
3222011211120112020100
421130201321232202
5131232413410131
64354225123230
7506223226404
oct113441715642
928154515210
1010142325666
114335095430
121b70789516
13c58330245
146c3010b74
153e56237e6
hex25c879ba2

10142325666 has 96 divisors (see below), whose sum is σ = 25485295680. Its totient is φ = 2882736000.

The previous prime is 10142325637. The next prime is 10142325667. The reversal of 10142325666 is 66652324101.

10142325666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10142325666.

It is not an unprimeable number, because it can be changed into a prime (10142325667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 366616 + ... + 393308.

It is an arithmetic number, because the mean of its divisors is an integer number (265471830).

Almost surely, 210142325666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142325666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742647840).

10142325666 is an abundant number, since it is smaller than the sum of its proper divisors (15342970014).

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

10142325666 is a wasteful number, since it uses less digits than its factorization.

10142325666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832 (or 26829 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10142325666 its reverse (66652324101), we get a palindrome (76794649767).

The spelling of 10142325666 in words is "ten billion, one hundred forty-two million, three hundred twenty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 101 114 171 198 202 209 303 342 418 606 627 909 1111 1254 1818 1881 1919 2222 3333 3762 3838 5757 6666 9999 11514 17271 19998 21109 26693 34542 42218 53386 63327 80079 126654 160158 189981 240237 293623 379962 480474 507167 587246 880869 1014334 1521501 1761738 2642607 2695993 3043002 4564503 5285214 5391986 5578837 8087979 9129006 11157674 16175958 16736511 24263937 29655923 33473022 48527874 50209533 51223867 59311846 88967769 100419066 102447734 153671601 177935538 266903307 307343202 461014803 533806614 563462537 922029606 1126925074 1690387611 3380775222 5071162833 10142325666