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2128803609240 = 2336571117431297
BaseRepresentation
bin11110111110100110100…
…101010011101010011000
321112111210222120011000000
4132332212211103222120
5234334242210443430
64305543041213000
7306541511055510
oct36764645235230
97474728504000
102128803609240
11750903159920
122a46b0031160
1312598c609479
147506b0c8840
153a595cb9e60
hex1efa6953a98

2128803609240 has 1792 divisors, whose sum is σ = 9708089656320. Its totient is φ = 406332702720.

The previous prime is 2128803609173. The next prime is 2128803609281. The reversal of 2128803609240 is 429063088212.

2128803609240 is a `hidden beast` number, since 2 + 1 + 288 + 0 + 360 + 9 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×21288036092402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1641328272 + ... + 1641329568.

Almost surely, 22128803609240 is an apocalyptic number.

2128803609240 is a gapful number since it is divisible by the number (20) 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 2128803609240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854044828160).

2128803609240 is an abundant number, since it is smaller than the sum of its proper divisors (7579286047080).

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

2128803609240 is a wasteful number, since it uses less digits than its factorization.

2128803609240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2128803609240 in words is "two trillion, one hundred twenty-eight billion, eight hundred three million, six hundred nine thousand, two hundred forty".