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21342524420 = 22575317916069
BaseRepresentation
bin10011111000000111…
…010001010000000100
32001002101201120112102
4103320013101100010
5322202141240140
613445444211232
71353613315160
oct237007212004
961071646472
1021342524420
119062331538
124177699b18
132021881499
141066715ca0
1584da5ae15
hex4f81d1404

21342524420 has 96 divisors (see below), whose sum is σ = 52483334400. Its totient is φ = 7138819584.

The previous prime is 21342524417. The next prime is 21342524443. The reversal of 21342524420 is 2442524312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320146 + ... + 1336214.

It is an arithmetic number, because the mean of its divisors is an integer number (546701400).

Almost surely, 221342524420 is an apocalyptic number.

21342524420 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 21342524420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241667200).

21342524420 is an abundant number, since it is smaller than the sum of its proper divisors (31140809980).

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

21342524420 is a wasteful number, since it uses less digits than its factorization.

21342524420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 21342524420 in words is "twenty-one billion, three hundred forty-two million, five hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 179 212 265 358 371 530 716 742 895 1060 1253 1484 1790 1855 2506 3580 3710 5012 6265 7420 9487 12530 16069 18974 25060 32138 37948 47435 64276 66409 80345 94870 112483 132818 160690 189740 224966 265636 321380 332045 449932 562415 664090 851657 1124830 1328180 1703314 2249660 2876351 3406628 4258285 5752702 5961599 8516570 11505404 11923198 14381755 17033140 20134457 23846396 28763510 29807995 40268914 57527020 59615990 80537828 100672285 119231980 152446603 201344570 304893206 402689140 609786412 762233015 1067126221 1524466030 2134252442 3048932060 4268504884 5335631105 10671262210 21342524420