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21528082512 = 2432149500573
BaseRepresentation
bin10100000011001011…
…000111100001010000
32001120022212220101100
4110003023013201100
5323042142120022
613520113304400
71361325452646
oct240313074120
961508786340
1021528082512
119148050032
124209865100
132051150181
141083219196
1585eeb11ac
hex5032c7850

21528082512 has 30 divisors (see below), whose sum is σ = 60248731322. Its totient is φ = 7176027456.

The previous prime is 21528082441. The next prime is 21528082559.

21528082512 is a `hidden beast` number, since 2 + 1 + 528 + 0 + 82 + 51 + 2 = 666.

21528082512 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 13345794576 + 8182287936 = 115524^2 + 90456^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74750143 + ... + 74750430.

Almost surely, 221528082512 is an apocalyptic number.

It is an amenable number.

21528082512 is an abundant number, since it is smaller than the sum of its proper divisors (38720648810).

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

21528082512 is a wasteful number, since it uses less digits than its factorization.

21528082512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149500587 (or 149500578 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 215280 and 82512, that added together give a palindrome (297792).

The spelling of 21528082512 in words is "twenty-one billion, five hundred twenty-eight million, eighty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149500573 299001146 448501719 598002292 897003438 1196004584 1345505157 1794006876 2392009168 2691010314 3588013752 5382020628 7176027504 10764041256 21528082512