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6001886142 = 23271712722063
BaseRepresentation
bin1011001011011110…
…11000001110111110
3120111021121101222100
411211233120032332
544242440324032
62431321125530
7301506122220
oct54557301676
916437541870
106001886142
1125aa9a998a
1211b60298a6
137485a9425
1440d180410
15251dab97c
hex165bd83be

6001886142 has 96 divisors (see below), whose sum is σ = 15860662272. Its totient is φ = 1601171712.

The previous prime is 6001886141. The next prime is 6001886171. The reversal of 6001886142 is 2416881006.

6001886142 is a `hidden beast` number, since 600 + 1 + 8 + 8 + 6 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6001886097 and 6001886106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001886141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261003 + ... + 283065.

It is an arithmetic number, because the mean of its divisors is an integer number (165215232).

Almost surely, 26001886142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001886142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930331136).

6001886142 is an abundant number, since it is smaller than the sum of its proper divisors (9858776130).

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

6001886142 is a wasteful number, since it uses less digits than its factorization.

6001886142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22222 (or 22219 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6001886142 is about 77471.8409617327. The cubic root of 6001886142 is about 1817.3109810763.

The spelling of 6001886142 in words is "six billion, one million, eight hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 127 153 238 254 306 357 381 714 762 889 1071 1143 1778 2142 2159 2286 2667 4318 5334 6477 8001 12954 15113 16002 19431 22063 30226 38862 44126 45339 66189 90678 132378 136017 154441 198567 272034 308882 375071 397134 463323 750142 926646 1125213 1389969 2250426 2625497 2779938 2802001 3375639 5250994 5604002 6751278 7876491 8406003 15752982 16812006 19614007 23629473 25218009 39228014 47258946 47634017 50436018 58842021 95268034 117684042 142902051 176526063 285804102 333438119 353052126 428706153 666876238 857412306 1000314357 2000628714 3000943071 6001886142