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2128236372 = 2232181326617
BaseRepresentation
bin111111011011010…
…0100111101010100
312111022122121110100
41332312210331110
513324312030442
6551103254100
7103511465523
oct17666447524
95438577410
102128236372
119a2374539
124b48aa330
1327bbc6182
1416291a4ba
15c6c9384c
hex7eda4f54

2128236372 has 36 divisors (see below), whose sum is σ = 5409447316. Its totient is φ = 705490560.

The previous prime is 2128236371. The next prime is 2128236373. The reversal of 2128236372 is 2736328212.

2128236372 is a `hidden beast` number, since 2 + 1 + 282 + 3 + 6 + 372 = 666.

It is an interprime number because it is at equal distance from previous prime (2128236371) and next prime (2128236373).

It can be written as a sum of positive squares in 2 ways, for example, as 1086625296 + 1041611076 = 32964^2 + 32274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2128236371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156793 + ... + 169824.

Almost surely, 22128236372 is an apocalyptic number.

It is an amenable number.

2128236372 is an abundant number, since it is smaller than the sum of its proper divisors (3281210944).

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

2128236372 is a wasteful number, since it uses less digits than its factorization.

2128236372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326808 (or 326803 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2128236372 is about 46132.8123140135. The cubic root of 2128236372 is about 1286.2931406395.

The spelling of 2128236372 in words is "two billion, one hundred twenty-eight million, two hundred thirty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 326617 653234 979851 1306468 1959702 2939553 3919404 5879106 11758212 59117677 118235354 177353031 236470708 354706062 532059093 709412124 1064118186 2128236372