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642471406342060 = 225178923977885503
BaseRepresentation
bin1001001000010100110000011…
…1111101000000111110101100
310010020210122222221212102111011
42102011030013331000332230
51133202222420010421220
610154231142311435004
7252220012242531241
oct22205140775007654
93106718887772434
10642471406342060
11176790658759929
126008331a085a64
1321764a41880799
14b491ad3a955c8
154e422505ba65a
hex2485307f40fac

642471406342060 has 96 divisors (see below), whose sum is σ = 1444667118612480. Its totient is φ = 239143685603328.

The previous prime is 642471406342039. The next prime is 642471406342093. The reversal of 642471406342060 is 60243604174246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 642471406341995 and 642471406342013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725101269 + ... + 725986771.

It is an arithmetic number, because the mean of its divisors is an integer number (15048615818880).

Almost surely, 2642471406342060 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 642471406342060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722333559306240).

642471406342060 is an abundant number, since it is smaller than the sum of its proper divisors (802195712270420).

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

642471406342060 is a wasteful number, since it uses less digits than its factorization.

642471406342060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909595 (or 909593 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 49.

The spelling of 642471406342060 in words is "six hundred forty-two trillion, four hundred seventy-one billion, four hundred six million, three hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1513 1780 3026 6052 7565 15130 23977 30260 47954 95908 119885 239770 407609 479540 815218 885503 1630436 1771006 2038045 2133953 3542012 4076090 4267906 4427515 8152180 8535812 8855030 10669765 15053551 17710060 21339530 30107102 36277201 42679060 60214204 72554402 75267755 78809767 145108804 150535510 157619534 181386005 301071020 315239068 362772010 394048835 725544020 788097670 1339766039 1576195340 2679532078 5359064156 6698830195 13397660390 21231705431 26795320780 42463410862 84926821724 106158527155 212317054310 360938992327 424634108620 721877984654 1443755969308 1804694961635 1889621783359 3609389923270 3779243566718 7218779846540 7558487133436 9448108916795 18896217833590 32123570317103 37792435667180 64247140634206 128494281268412 160617851585515 321235703171030 642471406342060