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2115264788 = 227133126047
BaseRepresentation
bin111111000010100…
…0110000100010100
312110102020120210022
41332011012010110
513313001433123
6545521244312
7103263311510
oct17605060424
95412216708
102115264788
1199601481a
124b0493698
13279303b90
14160d01140
15c5a801c8
hex7e146114

2115264788 has 72 divisors (see below), whose sum is σ = 4708440576. Its totient is φ = 809680320.

The previous prime is 2115264787. The next prime is 2115264799. The reversal of 2115264788 is 8874625112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115264787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346781 + ... + 352827.

It is an arithmetic number, because the mean of its divisors is an integer number (65395008).

Almost surely, 22115264788 is an apocalyptic number.

2115264788 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 2115264788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354220288).

2115264788 is an abundant number, since it is smaller than the sum of its proper divisors (2593175788).

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

2115264788 is a wasteful number, since it uses less digits than its factorization.

2115264788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6100 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 2115264788 is about 45992.0078709334. The cubic root of 2115264788 is about 1283.6744976733.

The spelling of 2115264788 in words is "two billion, one hundred fifteen million, two hundred sixty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 961 1612 1922 2821 3844 5642 6047 6727 11284 12094 12493 13454 24188 24986 26908 42329 49972 78611 84658 87451 157222 169316 174902 187457 314444 349804 374914 550277 749828 1100554 1312199 2201108 2436941 2624398 4873882 5248796 5811167 9747764 11622334 17058587 23244668 34117174 40678169 68234348 75545171 81356338 151090342 162712676 302180684 528816197 1057632394 2115264788