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406211536020 = 2235131393113147
BaseRepresentation
bin1011110100101000001…
…10000010010010010100
31102211111120200002112110
411322110012002102110
523123410123123040
6510335550551020
741230205041323
oct5722406022224
91384446602473
10406211536020
11147300905344
1266887508470
132c3c84a0144
14159371180ba
15a876db8980
hex5e94182494

406211536020 has 96 divisors (see below), whose sum is σ = 1146453428736. Its totient is φ = 107460662400.

The previous prime is 406211536009. The next prime is 406211536037. The reversal of 406211536020 is 20635112604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30891087 + ... + 30904233.

It is an arithmetic number, because the mean of its divisors is an integer number (11942223216).

Almost surely, 2406211536020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406211536020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573226714368).

406211536020 is an abundant number, since it is smaller than the sum of its proper divisors (740241892716).

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

406211536020 is a wasteful number, since it uses less digits than its factorization.

406211536020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 406211536020 its reverse (20635112604), we get a palindrome (426846648624).

The spelling of 406211536020 in words is "four hundred six billion, two hundred eleven million, five hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 3931 7860 7862 11793 13147 15724 19655 23586 26294 39310 39441 47172 52588 58965 65735 78620 78882 117930 131470 157764 197205 235860 262940 394410 514961 788820 1029922 1544883 1722257 2059844 2574805 3089766 3444514 5149610 5166771 6179532 6889028 7724415 8611285 10299220 10333542 15448830 17222570 20667084 25833855 30897660 34445140 51667710 51680857 103335420 103361714 155042571 206723428 258404285 310085142 516808570 620170284 775212855 1033617140 1550425710 3100851420 6770192267 13540384534 20310576801 27080769068 33850961335 40621153602 67701922670 81242307204 101552884005 135403845340 203105768010 406211536020