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21006006510 = 2351938396221
BaseRepresentation
bin10011100100000011…
…100011100011101110
32000012221111200202010
4103210003203203232
5321010014202020
613352223342050
71342356052326
oct234403434356
960187450663
1021006006510
1189aa385665
1240a2a51926
131c99c38a68
141033b58286
1582e236de0
hex4e40e38ee

21006006510 has 64 divisors (see below), whose sum is σ = 53206917120. Its totient is φ = 5292869760.

The previous prime is 21006006509. The next prime is 21006006547. The reversal of 21006006510 is 1560060012.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 170200 + ... + 266420.

It is an arithmetic number, because the mean of its divisors is an integer number (831358080).

Almost surely, 221006006510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21006006510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26603458560).

21006006510 is an abundant number, since it is smaller than the sum of its proper divisors (32200910610).

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

21006006510 is a wasteful number, since it uses less digits than its factorization.

21006006510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96633.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 21006006510 its reverse (1560060012), we get a palindrome (22566066522).

The spelling of 21006006510 in words is "twenty-one billion, six million, six thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 383 570 766 1149 1915 2298 3830 5745 7277 11490 14554 21831 36385 43662 72770 96221 109155 192442 218310 288663 481105 577326 962210 1443315 1828199 2886630 3656398 5484597 9140995 10969194 18281990 27422985 36852643 54845970 73705286 110557929 184263215 221115858 368526430 552789645 700200217 1105579290 1400400434 2100600651 3501001085 4201201302 7002002170 10503003255 21006006510