Search a number
-
+
512421391320450 = 235219317700220771
BaseRepresentation
bin111010010000010110110011…
…1000000010100010110000010
32111012100000011210202210022120
41310200231213000110112002
51014131003002134223300
65013455045402145110
7212635136524211103
oct16440554700242602
92435300153683276
10512421391320450
111393007676696a7
124957a8471b2196
1318cc018c3c9471
1490774831b63aa
153e393ca1b13a0
hex1d20b67014582

512421391320450 has 48 divisors (see below), whose sum is σ = 1277389532673696. Its totient is φ = 135937695513600.

The previous prime is 512421391320407. The next prime is 512421391320523. The reversal of 512421391320450 is 54023193124215.

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 23 ways as a sum of consecutive naturals, for example, 8850081436 + ... + 8850139335.

It is an arithmetic number, because the mean of its divisors is an integer number (26612281930702).

Almost surely, 2512421391320450 is an apocalyptic number.

512421391320450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

512421391320450 is an abundant number, since it is smaller than the sum of its proper divisors (764968141353246).

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

512421391320450 is a wasteful number, since it uses less digits than its factorization.

512421391320450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17700220979 (or 17700220974 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 512421391320450 in words is "five hundred twelve trillion, four hundred twenty-one billion, three hundred ninety-one million, three hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 193 386 579 965 1158 1930 2895 4825 5790 9650 14475 28950 17700220771 35400441542 53100662313 88501103855 106201324626 177002207710 265503311565 442505519275 531006623130 885011038550 1327516557825 2655033115650 3416142608803 6832285217606 10248427826409 17080713044015 20496855652818 34161426088030 51242139132045 85403565220075 102484278264090 170807130440150 256210695660225 512421391320450