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8142757020 = 2232561741599
BaseRepresentation
bin1111001010101100…
…01001110010011100
3210000111000220201100
413211112021302130
5113134021211040
63423555313100
7405533202246
oct74526116234
923014026640
108142757020
1134a9412962
1216b2bab790
139c9ca7328
14573629096
15329ce8b30
hex1e5589c9c

8142757020 has 72 divisors (see below), whose sum is σ = 25104643200. Its totient is φ = 2135802240.

The previous prime is 8142756991. The next prime is 8142757027. The reversal of 8142757020 is 207572418.

8142757020 is a `hidden beast` number, since 81 + 4 + 2 + 7 + 570 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142757027) 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 23 ways as a sum of consecutive naturals, for example, 359820 + ... + 381779.

It is an arithmetic number, because the mean of its divisors is an integer number (348675600).

Almost surely, 28142757020 is an apocalyptic number.

It is an amenable number.

8142757020 is an abundant number, since it is smaller than the sum of its proper divisors (16961886180).

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

8142757020 is a wasteful number, since it uses less digits than its factorization.

8142757020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741675 (or 741670 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8142757020 is about 90237.2263536507. The cubic root of 8142757020 is about 2011.8263492267.

The spelling of 8142757020 in words is "eight billion, one hundred forty-two million, seven hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 741599 1483198 2224797 2966396 3707995 4449594 6674391 7415990 8899188 11123985 13348782 14831980 22247970 26697564 33371955 44495940 45237539 66743910 90475078 133487820 135712617 180950156 226187695 271425234 407137851 452375390 542850468 678563085 814275702 904750780 1357126170 1628551404 2035689255 2714252340 4071378510 8142757020