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2128470912 = 27333119867
BaseRepresentation
bin111111011011101…
…1110001110000000
312111100002112012000
41332313132032000
513324342032122
6551112304000
7103513463361
oct17667361600
95440075160
102128470912
119a2514777
124b49a2000
1327bc78b59
1416297bb68
15c6cdd0ac
hex7edde380

2128470912 has 128 divisors (see below), whose sum is σ = 6484915200. Its totient is φ = 686568960.

The previous prime is 2128470893. The next prime is 2128470913. The reversal of 2128470912 is 2190748212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21284709122 = 9060776846460223488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128470913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97203 + ... + 117069.

It is an arithmetic number, because the mean of its divisors is an integer number (50663400).

Almost surely, 22128470912 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 2128470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242457600).

2128470912 is an abundant number, since it is smaller than the sum of its proper divisors (4356444288).

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

2128470912 is a wasteful number, since it uses less digits than its factorization.

2128470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19921 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2128470912 is about 46135.3542524602. The cubic root of 2128470912 is about 1286.3403904212.

The spelling of 2128470912 in words is "two billion, one hundred twenty-eight million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 19867 26784 35712 39734 53568 59601 79468 107136 119202 158936 178803 238404 317872 357606 476808 536409 615877 635744 715212 953616 1072818 1231754 1271488 1430424 1847631 1907232 2145636 2463508 2542976 2860848 3695262 3814464 4291272 4927016 5542893 5721696 7390524 7628928 8582544 9854032 11085786 11443392 14781048 16628679 17165088 19708064 22171572 22886784 29562096 33257358 34330176 39416128 44343144 59124192 66514716 68660352 78832256 88686288 118248384 133029432 177372576 236496768 266058864 354745152 532117728 709490304 1064235456 2128470912