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21368543940 = 2232573222277
BaseRepresentation
bin10011111001101010…
…100001101011000100
32001011012200111121100
4103321222201223010
5322230321401230
613452214020100
71354350424632
oct237152415304
961135614540
1021368543940
119075a93377
124184347630
132027091753
141069d6a352
15850e9a660
hex4f9aa1ac4

21368543940 has 108 divisors (see below), whose sum is σ = 65720946564. Its totient is φ = 5619967488.

The previous prime is 21368543923. The next prime is 21368543953. The reversal of 21368543940 is 4934586312.

21368543940 is a `hidden beast` number, since 2 + 1 + 3 + 68 + 543 + 9 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 687803076 + 20680740864 = 26226^2 + 143808^2 .

It is a super-2 number, since 2×213685439402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 948082 + ... + 970358.

It is an arithmetic number, because the mean of its divisors is an integer number (608527283).

Almost surely, 221368543940 is an apocalyptic number.

21368543940 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 21368543940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860473282).

21368543940 is an abundant number, since it is smaller than the sum of its proper divisors (44352402624).

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

21368543940 is a wasteful number, since it uses less digits than its factorization.

21368543940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21368543940 in words is "twenty-one billion, three hundred sixty-eight million, five hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 5329 6570 10658 13140 15987 21316 22277 26645 31974 44554 47961 53290 63948 66831 79935 89108 95922 106580 111385 133662 159870 191844 200493 222770 239805 267324 319740 334155 400986 445540 479610 668310 801972 959220 1002465 1336620 1626221 2004930 3252442 4009860 4878663 6504884 8131105 9757326 14635989 16262210 19514652 24393315 29271978 32524420 48786630 58543956 73179945 97573260 118714133 146359890 237428266 292719780 356142399 474856532 593570665 712284798 1068427197 1187141330 1424569596 1780711995 2136854394 2374282660 3561423990 4273708788 5342135985 7122847980 10684271970 21368543940