Search a number
-
+
420424063515 = 325315917928537
BaseRepresentation
bin1100001111000110011…
…10100001101000011011
31111012012002001022000200
412013203032201220123
523342012030013030
6521050134433243
742242333401461
oct6074316415033
91435162038020
10420424063515
11152334472635
1269593202823
1330851b31421
14164c4914831
15ae099ccd60
hex61e33a1a1b

420424063515 has 96 divisors (see below), whose sum is σ = 769293158400. Its totient is φ = 212116078080.

The previous prime is 420424063513. The next prime is 420424063517. The reversal of 420424063515 is 515360424024.

420424063515 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 2 + 4 + 0 + 635 + 15 = 666.

It is an interprime number because it is at equal distance from previous prime (420424063513) and next prime (420424063517).

It is not a de Polignac number, because 420424063515 - 21 = 420424063513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420424063515.

It is not an unprimeable number, because it can be changed into a prime (420424063511) by changing a digit.

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, 14718327 + ... + 14746863.

It is an arithmetic number, because the mean of its divisors is an integer number (8013470400).

Almost surely, 2420424063515 is an apocalyptic number.

420424063515 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420424063515 is a deficient number, since it is larger than the sum of its proper divisors (348869094885).

420424063515 is a wasteful number, since it uses less digits than its factorization.

420424063515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28817 (or 28814 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 420424063515 its reverse (515360424024), we get a palindrome (935784487539).

The spelling of 420424063515 in words is "four hundred twenty billion, four hundred twenty-four million, sixty-three thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 31 45 59 93 155 177 179 279 295 465 531 537 885 895 1395 1611 1829 2655 2685 5487 5549 8055 9145 10561 16461 16647 27435 27745 28537 31683 49941 52805 82305 83235 85611 95049 142685 158415 249705 256833 327391 428055 475245 884647 982173 1284165 1636955 1683683 2653941 2946519 4423235 4910865 5051049 5108123 7961823 8418415 13269705 14732595 15153147 15324369 25255245 25540615 39809115 45973107 52194173 75765735 76621845 156582519 158351813 229865535 260970865 301379257 469747557 475055439 782912595 791759065 904137771 1425166317 1506896285 2348737785 2375277195 2712413313 4520688855 7125831585 9342756967 13562066565 28028270901 46713784835 84084812703 140141354505 420424063515