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2672867142 = 2321119710491
BaseRepresentation
bin1001111101010000…
…1011011101000110
320220021110201102100
42133110023131012
520433223222032
61121120452530
7123143665401
oct23724133506
96807421370
102672867142
111151844710
1262717a146
133379a67ba
141b4dacd38
151099c597c
hex9f50b746

2672867142 has 48 divisors (see below), whose sum is σ = 6650205120. Its totient is φ = 767329200.

The previous prime is 2672867129. The next prime is 2672867167. The reversal of 2672867142 is 2417682762.

It is a happy number.

2672867142 is a `hidden beast` number, since 267 + 286 + 71 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

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, 351484 + ... + 359007.

It is an arithmetic number, because the mean of its divisors is an integer number (138545940).

Almost surely, 22672867142 is an apocalyptic number.

2672867142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2672867142 is an abundant number, since it is smaller than the sum of its proper divisors (3977337978).

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

2672867142 is a wasteful number, since it uses less digits than its factorization.

2672867142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710529 (or 710526 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2672867142 is about 51699.7789356976. The cubic root of 2672867142 is about 1387.7965091174.

The spelling of 2672867142 in words is "two billion, six hundred seventy-two million, eight hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 710491 1420982 2131473 4262946 6394419 7815401 12788838 13499329 15630802 23446203 26998658 40497987 46892406 70338609 80995974 121493961 140677218 148492619 242987922 296985238 445477857 890955714 1336433571 2672867142