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2028538923264 = 283373412509
BaseRepresentation
bin11101100001001110010…
…101111000100100000000
321011221000100212100212000
4131201032111320210000
5231213421431021024
64151521541104000
7266362041231000
oct35411625704400
97157010770760
102028538923264
1171233137a287
122891896b8000
131193a1014909
1470278c48000
1537b786e9cc9
hex1d84e578900

2028538923264 has 864 divisors, whose sum is σ = 7184496480000. Its totient is φ = 564335493120.

The previous prime is 2028538923251. The next prime is 2028538923311. The reversal of 2028538923264 is 4623298358202.

It is a happy number.

2028538923264 is a `hidden beast` number, since 2 + 0 + 28 + 5 + 389 + 232 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×20285389232642 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2028538923264.

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 95 ways as a sum of consecutive naturals, for example, 3985341442 + ... + 3985341950.

Almost surely, 22028538923264 is an apocalyptic number.

2028538923264 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 2028538923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592248240000).

2028538923264 is an abundant number, since it is smaller than the sum of its proper divisors (5155957556736).

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

2028538923264 is an frugal number, since it uses more digits than its factorization.

2028538923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2028538923264 in words is "two trillion, twenty-eight billion, five hundred thirty-eight million, nine hundred twenty-three thousand, two hundred sixty-four".