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21369746520 = 23325281211247
BaseRepresentation
bin10011111001101111…
…000111010001011000
32001011021221121020100
4103321233013101120
5322231123342040
613452255455400
71354363563663
oct237157072130
961137847210
1021369746520
119076734941
124184827560
1320273c2c35
14106a1a06da
15851136b30
hex4f9bc7458

21369746520 has 96 divisors (see below), whose sum is σ = 69699165120. Its totient is φ = 5678292480.

The previous prime is 21369746483. The next prime is 21369746527. The reversal of 21369746520 is 2564796312.

21369746520 is a `hidden beast` number, since 2 + 1 + 36 + 97 + 4 + 6 + 520 = 666.

It is a super-3 number, since 3×213697465203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21369746527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 206783.

It is an arithmetic number, because the mean of its divisors is an integer number (726032970).

Almost surely, 221369746520 is an apocalyptic number.

21369746520 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 21369746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34849582560).

21369746520 is an abundant number, since it is smaller than the sum of its proper divisors (48329418600).

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

21369746520 is a wasteful number, since it uses less digits than its factorization.

21369746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211545 (or 211538 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21369746520 in words is "twenty-one billion, three hundred sixty-nine million, seven hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1405 1686 2248 2529 2810 3372 4215 5058 5620 6744 8430 10116 11240 12645 16860 20232 25290 33720 50580 101160 211247 422494 633741 844988 1056235 1267482 1689976 1901223 2112470 2534964 3168705 3802446 4224940 5069928 6337410 7604892 8449880 9506115 12674820 15209784 19012230 25349640 38024460 59360407 76048920 118720814 178081221 237441628 296802035 356162442 474883256 534243663 593604070 712324884 890406105 1068487326 1187208140 1424649768 1780812210 2136974652 2374416280 2671218315 3561624420 4273949304 5342436630 7123248840 10684873260 21369746520