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21384968060 = 22523892292281
BaseRepresentation
bin10011111010101001…
…001011011101111100
32001012100120221021002
4103322221023131330
5322244022434220
613454002025432
71354640141441
oct237251133574
961170527232
1021384968060
119084291025
124189948278
13202a5c2371
14106c2039c8
15852641c75
hex4faa4b77c

21384968060 has 96 divisors (see below), whose sum is σ = 47615299200. Its totient is φ = 8051281920.

The previous prime is 21384968053. The next prime is 21384968069. The reversal of 21384968060 is 6086948312.

It is a junction number, because it is equal to n+sod(n) for n = 21384967996 and 21384968014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21384968069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9374120 + ... + 9376400.

It is an arithmetic number, because the mean of its divisors is an integer number (495992700).

Almost surely, 221384968060 is an apocalyptic number.

21384968060 is a gapful number since it is divisible by the number (20) 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 21384968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23807649600).

21384968060 is an abundant number, since it is smaller than the sum of its proper divisors (26230331140).

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

21384968060 is a wasteful number, since it uses less digits than its factorization.

21384968060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 21384968060 in words is "twenty-one billion, three hundred eighty-four million, nine hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 229 230 356 445 458 460 890 916 1145 1780 2047 2281 2290 4094 4562 4580 5267 8188 9124 10235 10534 11405 20381 20470 21068 22810 26335 40762 40940 45620 52463 52670 81524 101905 104926 105340 203009 203810 209852 262315 406018 407620 468763 522349 524630 812036 937526 1015045 1044698 1049260 1875052 2030090 2089396 2343815 2611745 4060180 4669207 4687630 5223490 9338414 9375260 10446980 12014027 18676828 23346035 24028054 46489061 46692070 48056108 60070135 92978122 93384140 120140270 185956244 232445305 240280540 464890610 929781220 1069248403 2138496806 4276993612 5346242015 10692484030 21384968060