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2128372884 = 22321122723677
BaseRepresentation
bin111111011011100…
…0110010010010100
312111022220112201100
41332313012102110
513324330413014
6551110230100
7103512604521
oct17667062224
95438815640
102128372884
119a2458060
124b4955330
1327bc43351
14162954148
15c6cbe009
hex7edc6494

2128372884 has 72 divisors (see below), whose sum is σ = 5895253728. Its totient is φ = 642093120.

The previous prime is 2128372877. The next prime is 2128372969. The reversal of 2128372884 is 4882738212.

It is a super-2 number, since 2×21283728842 = 9059942266692954912, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 78054 + ... + 101730.

It is an arithmetic number, because the mean of its divisors is an integer number (81878524).

Almost surely, 22128372884 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 2128372884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947626864).

2128372884 is an abundant number, since it is smaller than the sum of its proper divisors (3766880844).

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

2128372884 is a wasteful number, since it uses less digits than its factorization.

2128372884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23925 (or 23920 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2128372884 is about 46134.2918445705. The cubic root of 2128372884 is about 1286.3206423928.

The spelling of 2128372884 in words is "two billion, one hundred twenty-eight million, three hundred seventy-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 2043 2497 2724 4086 4994 7491 8172 9988 14982 22473 23677 29964 44946 47354 71031 89892 94708 142062 213093 260447 284124 426186 520894 781341 852372 1041788 1562682 2344023 3125364 4688046 5374679 9376092 10749358 16124037 21498716 32248074 48372111 59121469 64496148 96744222 118242938 177364407 193488444 236485876 354728814 532093221 709457628 1064186442 2128372884