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2119998744 = 233417318911
BaseRepresentation
bin111111001011100…
…1001110100011000
312110202011002120000
41332113021310120
513320204424434
6550210533000
7103351456233
oct17627116430
95422132500
102119998744
11998758486
124b1b97160
1327a2a0836
141617b441a
15c61b7b99
hex7e5c9d18

2119998744 has 80 divisors (see below), whose sum is σ = 5972598720. Its totient is φ = 702544320.

The previous prime is 2119998721. The next prime is 2119998773. The reversal of 2119998744 is 4478999112.

It is a super-3 number, since 3×21199987443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102649 + ... + 121559.

It is an arithmetic number, because the mean of its divisors is an integer number (74657484).

Almost surely, 22119998744 is an apocalyptic number.

2119998744 is a gapful number since it is divisible by the number (24) 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 2119998744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986299360).

2119998744 is an abundant number, since it is smaller than the sum of its proper divisors (3852599976).

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

2119998744 is a wasteful number, since it uses less digits than its factorization.

2119998744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19102 (or 19089 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 2119998744 is about 46043.4440935949. Note that the first 3 decimals coincide. The cubic root of 2119998744 is about 1284.6314040179.

The spelling of 2119998744 in words is "two billion, one hundred nineteen million, nine hundred ninety-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 1038 1384 1557 2076 3114 4152 4671 6228 9342 12456 14013 18684 18911 28026 37368 37822 56052 56733 75644 112104 113466 151288 170199 226932 340398 453864 510597 680796 1021194 1361592 1531791 2042388 3063582 3271603 4084776 6127164 6543206 9814809 12254328 13086412 19629618 26172824 29444427 39259236 58888854 78518472 88333281 117777708 176666562 235555416 264999843 353333124 529999686 706666248 1059999372 2119998744