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21054305232 = 24321914835189
BaseRepresentation
bin10011100110111011…
…110011001111010000
32000100022101112010200
4103212323303033100
5321104400231412
613401110455200
71343513433042
oct234673631720
960308345120
1021054305232
118a24674164
1240b7064500
131ca6c4999c
14103a32ba92
158335c79dc
hex4e6ef33d0

21054305232 has 120 divisors (see below), whose sum is σ = 62077797600. Its totient is φ = 6642964224.

The previous prime is 21054305183. The next prime is 21054305257. The reversal of 21054305232 is 23250345012.

It is a happy number.

21054305232 is a `hidden beast` number, since 2 + 105 + 4 + 30 + 523 + 2 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 21054305196 and 21054305205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054894 + ... + 4060082.

It is an arithmetic number, because the mean of its divisors is an integer number (517314980).

Almost surely, 221054305232 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 21054305232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31038898800).

21054305232 is an abundant number, since it is smaller than the sum of its proper divisors (41023492368).

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

21054305232 is a wasteful number, since it uses less digits than its factorization.

21054305232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 21054305232 in words is "twenty-one billion, fifty-four million, three hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1483 2736 2966 4449 5189 5932 8898 10378 11864 13347 15567 17796 20756 23728 26694 28177 31134 35592 41512 46701 53388 56354 62268 71184 83024 84531 93402 98591 106776 112708 124536 169062 186804 197182 213552 225416 249072 253593 295773 338124 373608 394364 450832 507186 591546 676248 747216 788728 887319 1014372 1183092 1352496 1577456 1774638 2028744 2366184 3549276 4057488 4732368 7098552 7695287 14197104 15390574 23085861 30781148 46171722 61562296 69257583 92343444 123124592 138515166 146210453 184686888 277030332 292420906 369373776 438631359 554060664 584841812 877262718 1108121328 1169683624 1315894077 1754525436 2339367248 2631788154 3509050872 5263576308 7018101744 10527152616 21054305232