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2187868368 = 24379767129
BaseRepresentation
bin1000001001101000…
…0011100011010000
312122110212020011210
42002122003203100
513440043241433
61001033340120
7105134400660
oct20232034320
95573766153
102187868368
11a22aa3984
12510867640
1328b37478a
1416a8001a0
15cc122463
hex826838d0

2187868368 has 80 divisors (see below), whose sum is σ = 6526110080. Its totient is φ = 618651648.

The previous prime is 2187868343. The next prime is 2187868421. The reversal of 2187868368 is 8638687812.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973 + ... + 66156.

It is an arithmetic number, because the mean of its divisors is an integer number (81576376).

Almost surely, 22187868368 is an apocalyptic number.

2187868368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263055040).

2187868368 is an abundant number, since it is smaller than the sum of its proper divisors (4338241712).

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

2187868368 is a wasteful number, since it uses less digits than its factorization.

2187868368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67244 (or 67238 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 2187868368 is about 46774.6551884672. The cubic root of 2187868368 is about 1298.1963879889.

The spelling of 2187868368 in words is "two billion, one hundred eighty-seven million, eight hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 32592 67129 134258 201387 268516 402774 469903 537032 805548 939806 1074064 1409709 1611096 1879612 2819418 3222192 3759224 5638836 6511513 7518448 11277672 13023026 19534539 22555344 26046052 39069078 45580591 52092104 78138156 91161182 104184208 136741773 156276312 182322364 273483546 312552624 364644728 546967092 729289456 1093934184 2187868368