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21364550420 = 22517222916141
BaseRepresentation
bin10011111001011011…
…010010101100010100
32001010221011121112012
4103321123102230110
5322223311103140
613451552243352
71354301453003
oct237133225424
961127147465
1021364550420
119073805a44
124182b40558
1320262c3b15
14106960ac3a
1585095c265
hex4f96d2b14

21364550420 has 72 divisors (see below), whose sum is σ = 47871038040. Its totient is φ = 8007505920.

The previous prime is 21364550407. The next prime is 21364550443. The reversal of 21364550420 is 2405546312.

It can be written as a sum of positive squares in 12 ways, for example, as 44462224 + 21320088196 = 6668^2 + 146014^2 .

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, 1315550 + ... + 1331690.

Almost surely, 221364550420 is an apocalyptic number.

21364550420 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 21364550420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935519020).

21364550420 is an abundant number, since it is smaller than the sum of its proper divisors (26506487620).

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

21364550420 is a wasteful number, since it uses less digits than its factorization.

21364550420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16394 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 21364550420 in words is "twenty-one billion, three hundred sixty-four million, five hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 289 340 458 578 916 1145 1156 1445 2290 2890 3893 4580 5780 7786 15572 16141 19465 32282 38930 64564 66181 77860 80705 132362 161410 264724 274397 322820 330905 548794 661810 1097588 1323620 1371985 2743970 3696289 4664749 5487940 7392578 9329498 14785156 18481445 18658996 23323745 36962890 46647490 62836913 73925780 93294980 125673826 251347652 314184565 628369130 1068227521 1256738260 2136455042 4272910084 5341137605 10682275210 21364550420