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7952606142 = 231319293147127
BaseRepresentation
bin1110110100000001…
…10010001110111110
3202112020020020202020
413122000302032332
5112241331344032
63353043541010
7401034015435
oct73200621676
922466206666
107952606142
113411047778
12165b38a766
1399978b010
1455628c11c
15318287b2c
hex1da0323be

7952606142 has 256 divisors, whose sum is σ = 19818086400. Its totient is φ = 2103252480.

The previous prime is 7952606141. The next prime is 7952606177. The reversal of 7952606142 is 2416062597.

It is a super-2 number, since 2×79526061422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7952606094 and 7952606103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7952606141) 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 127 ways as a sum of consecutive naturals, for example, 62618883 + ... + 62619009.

It is an arithmetic number, because the mean of its divisors is an integer number (77414400).

Almost surely, 27952606142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952606142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909043200).

7952606142 is an abundant number, since it is smaller than the sum of its proper divisors (11865480258).

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

7952606142 is a wasteful number, since it uses less digits than its factorization.

7952606142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 7952606142 is about 89177.3858217429. The cubic root of 7952606142 is about 1996.0426868340.

The spelling of 7952606142 in words is "seven billion, nine hundred fifty-two million, six hundred six thousand, one hundred forty-two".