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2118782328 = 2331310763467
BaseRepresentation
bin111111001001010…
…0000110101111000
312110122212021221120
41332102200311320
513314402013303
6550124505240
7103335231645
oct17622406570
95418767846
102118782328
11997aa7583
124b16ab220
13279c65c70
14161578dcc
15c6027553
hex7e4a0d78

2118782328 has 64 divisors (see below), whose sum is σ = 5757816960. Its totient is φ = 645830016.

The previous prime is 2118782299. The next prime is 2118782401. The reversal of 2118782328 is 8232878112.

2118782328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2118782328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 65117.

It is an arithmetic number, because the mean of its divisors is an integer number (89965890).

Almost surely, 22118782328 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 2118782328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878908480).

2118782328 is an abundant number, since it is smaller than the sum of its proper divisors (3639034632).

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

2118782328 is a wasteful number, since it uses less digits than its factorization.

2118782328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63596 (or 63592 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 2118782328 is about 46030.2327606542. The cubic root of 2118782328 is about 1284.3856577777.

The spelling of 2118782328 in words is "two billion, one hundred eighteen million, seven hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2568 2782 4173 5564 8346 11128 16692 33384 63467 126934 190401 253868 380802 507736 761604 825071 1523208 1650142 2475213 3300284 4950426 6600568 6790969 9900852 13581938 19801704 20372907 27163876 40745814 54327752 81491628 88282597 162983256 176565194 264847791 353130388 529695582 706260776 1059391164 2118782328