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21411405525 = 3522373193881
BaseRepresentation
bin10011111100001110…
…000001111011010101
32001021012100002122110
4103330032001323111
5322322304434100
613500344421233
71355410641546
oct237416017325
961235302573
1021411405525
1190981a8974
124196777819
132032c1a933
1410719264cd
15854b15250
hex4fc381ed5

21411405525 has 96 divisors (see below), whose sum is σ = 37682088192. Its totient is φ = 10705305600.

The previous prime is 21411405487. The next prime is 21411405551. The reversal of 21411405525 is 52550411412.

It is not a de Polignac number, because 21411405525 - 29 = 21411405013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21411405492 and 21411405501.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 24303085 + ... + 24303965.

It is an arithmetic number, because the mean of its divisors is an integer number (392521752).

Almost surely, 221411405525 is an apocalyptic number.

21411405525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21411405525 is a deficient number, since it is larger than the sum of its proper divisors (16270682667).

21411405525 is a wasteful number, since it uses less digits than its factorization.

21411405525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 21411405525 its reverse (52550411412), we get a palindrome (73961816937).

The spelling of 21411405525 in words is "twenty-one billion, four hundred eleven million, four hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 73 75 115 193 219 345 365 575 579 881 965 1095 1679 1725 1825 2643 2895 4405 4439 4825 5037 5475 8395 13215 13317 14089 14475 20263 22025 22195 25185 41975 42267 60789 64313 66075 66585 70445 101315 110975 125925 170033 192939 211335 303945 321565 324047 332925 352225 506575 510099 850165 964695 972141 1056675 1479199 1519725 1607825 1620235 2550495 3910759 4250825 4437597 4823475 4860705 7395995 8101175 11732277 12412409 12752475 19553795 22187985 24303525 36979975 37237227 58661385 62062045 97768975 110939925 186186135 285485407 293306925 310310225 856456221 930930675 1427427035 4282281105 7137135175 21411405525