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21385110852 = 22327731676961
BaseRepresentation
bin10011111010101001…
…101110010101000100
32001012100212012010200
4103322221232111010
5322244042021402
613454005050500
71354641304650
oct237251562504
961170765120
1021385110852
119084379336
1241899b6a30
13202a642361
14106c23da60
1585266e21c
hex4faa6e544

21385110852 has 144 divisors (see below), whose sum is σ = 63009553152. Its totient is φ = 5989386240.

The previous prime is 21385110833. The next prime is 21385110961. The reversal of 21385110852 is 25801158312.

21385110852 is a `hidden beast` number, since 2 + 138 + 511 + 0 + 8 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068652 + ... + 3075612.

Almost surely, 221385110852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21385110852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31504776576).

21385110852 is an abundant number, since it is smaller than the sum of its proper divisors (41624442300).

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

21385110852 is a wasteful number, since it uses less digits than its factorization.

21385110852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 21385110852 in words is "twenty-one billion, three hundred eighty-five million, one hundred ten thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 167 219 252 292 334 438 501 511 657 668 876 1002 1022 1169 1314 1503 1533 2004 2044 2338 2628 3006 3066 3507 4599 4676 6012 6132 6961 7014 9198 10521 12191 13922 14028 18396 20883 21042 24382 27844 36573 41766 42084 48727 48764 62649 73146 83532 85337 97454 109719 125298 146181 146292 170674 194908 219438 250596 256011 292362 341348 438543 438876 508153 512022 584724 768033 877086 1016306 1024044 1162487 1524459 1536066 1754172 2032612 2324974 3048918 3072132 3487461 3557071 4573377 4649948 6097836 6974922 7114142 8137409 9146754 10462383 10671213 13949844 14228284 16274818 18293508 20924766 21342426 24412227 32013639 32549636 41849532 42684852 48824454 64027278 73236681 84861551 97648908 128054556 146473362 169723102 254584653 292946724 339446204 509169306 594030857 763753959 1018338612 1188061714 1527507918 1782092571 2376123428 3055015836 3564185142 5346277713 7128370284 10692555426 21385110852