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8061590142 = 2321926389627
BaseRepresentation
bin1111000001000001…
…00001101001111110
3202210211022012200200
413200200201221332
5113002231341032
63411535504330
7403526246154
oct74040415176
922724265620
108061590142
113467614aa1
12168b9880a6
139b6228aa8
1456693b3d4
15322b1447c
hex1e0821a7e

8061590142 has 48 divisors (see below), whose sum is σ = 18456197760. Its totient is φ = 2536057296.

The previous prime is 8061590129. The next prime is 8061590149. The reversal of 8061590142 is 2410951608.

8061590142 is a `hidden beast` number, since 8 + 0 + 61 + 590 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8061590097 and 8061590106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8061590149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45133 + ... + 134759.

It is an arithmetic number, because the mean of its divisors is an integer number (384504120).

Almost surely, 28061590142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8061590142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228098880).

8061590142 is an abundant number, since it is smaller than the sum of its proper divisors (10394607618).

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

8061590142 is a wasteful number, since it uses less digits than its factorization.

8061590142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89917 (or 89914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8061590142 is about 89786.3583290914. The cubic root of 8061590142 is about 2005.1193965420.

The spelling of 8061590142 in words is "eight billion, sixty-one million, five hundred ninety thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 263 342 526 789 1578 2367 4734 4997 9994 14991 29982 44973 89627 89946 179254 268881 537762 806643 1613286 1702913 3405826 5108739 10217478 15326217 23571901 30652434 47143802 70715703 141431406 212147109 424294218 447866119 895732238 1343598357 2687196714 4030795071 8061590142