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2118949120 = 2852416869
BaseRepresentation
bin111111001001100…
…1001100100000000
312110200011202202001
41332103021210000
513314422332440
6550132233344
7103336525141
oct17623114400
95420152661
102118949120
11998100922
124b176b854
13279cc3b62
141615bdac8
15c605bb9a
hex7e4c9900

2118949120 has 72 divisors (see below), whose sum is σ = 5097347640. Its totient is φ = 843939840.

The previous prime is 2118949117. The next prime is 2118949181. The reversal of 2118949120 is 219498112.

It can be written as a sum of positive squares in 4 ways, for example, as 30824704 + 2088124416 = 5552^2 + 45696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2118949120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 305046 + ... + 311914.

It is an arithmetic number, because the mean of its divisors is an integer number (70796495).

Almost surely, 22118949120 is an apocalyptic number.

2118949120 is a gapful number since it is divisible by the number (20) 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 2118949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548673820).

2118949120 is an abundant number, since it is smaller than the sum of its proper divisors (2978398520).

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

2118949120 is an equidigital number, since it uses as much as digits as its factorization.

2118949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 2118949120 is about 46032.0444907675. The cubic root of 2118949120 is about 1284.4193594670.

The spelling of 2118949120 in words is "two billion, one hundred eighteen million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 640 964 1205 1280 1928 2410 3856 4820 6869 7712 9640 13738 15424 19280 27476 30848 34345 38560 54952 61696 68690 77120 109904 137380 154240 219808 274760 308480 439616 549520 879232 1099040 1655429 1758464 2198080 3310858 4396160 6621716 8277145 8792320 13243432 16554290 26486864 33108580 52973728 66217160 105947456 132434320 211894912 264868640 423789824 529737280 1059474560 2118949120