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6087421116 = 22327212592741
BaseRepresentation
bin1011010101101011…
…01010110010111100
3120201020120000220100
411222311222302330
544431334433431
62444014321100
7303565140300
oct55265526274
916636500810
106087421116
112644210647
12121a7b9190
13760226c3a
1441a687d00
152596554e6
hex16ad6acbc

6087421116 has 108 divisors (see below), whose sum is σ = 17920670040. Its totient is φ = 1737247680.

The previous prime is 6087421103. The next prime is 6087421127. The reversal of 6087421116 is 6111247806.

It is a happy number.

6087421116 is a `hidden beast` number, since 608 + 7 + 42 + 1 + 1 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2219506 + ... + 2222246.

It is an arithmetic number, because the mean of its divisors is an integer number (165932130).

Almost surely, 26087421116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6087421116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960335020).

6087421116 is an abundant number, since it is smaller than the sum of its proper divisors (11833248924).

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

6087421116 is a wasteful number, since it uses less digits than its factorization.

6087421116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6087421116 is about 78021.9271487189. The cubic root of 6087421116 is about 1825.9033362180.

The spelling of 6087421116 in words is "six billion, eighty-seven million, four hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1259 1764 2518 2741 3777 5036 5482 7554 8223 8813 10964 11331 15108 16446 17626 19187 22662 24669 26439 32892 35252 38374 45324 49338 52878 57561 61691 76748 79317 98676 105756 115122 123382 134309 158634 172683 185073 230244 246764 268618 317268 345366 370146 402927 537236 555219 690732 740292 805854 1110438 1208781 1611708 2220876 2417562 3450919 4835124 6901838 10352757 13803676 20705514 24156433 31058271 41411028 48312866 62116542 72469299 96625732 124233084 144938598 169095031 217407897 289877196 338190062 434815794 507285093 676380124 869631588 1014570186 1521855279 2029140372 3043710558 6087421116