Search a number
-
+
163309323240 = 23325764805287
BaseRepresentation
bin1001100000010111111…
…1101000001111101000
3120121112022022012001100
42120011333220033220
510133424141320430
6203005005321400
714540646225630
oct2300577501750
9517468265040
10163309323240
1163293945748
1227797b66260
1312527a6475b
147c932396c0
1543ac282960
hex2605fe83e8

163309323240 has 96 divisors (see below), whose sum is σ = 606577495680. Its totient is φ = 37327844736.

The previous prime is 163309323227. The next prime is 163309323263. The reversal of 163309323240 is 42323903361.

163309323240 is a `hidden beast` number, since 1 + 6 + 3 + 309 + 323 + 24 + 0 = 666.

163309323240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163309323195 and 163309323204.

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, 32400124 + ... + 32405163.

It is an arithmetic number, because the mean of its divisors is an integer number (6318515580).

Almost surely, 2163309323240 is an apocalyptic number.

163309323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163309323240 is an abundant number, since it is smaller than the sum of its proper divisors (443268172440).

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

163309323240 is a wasteful number, since it uses less digits than its factorization.

163309323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64805311 (or 64805304 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 163309323240 in words is "one hundred sixty-three billion, three hundred nine million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 64805287 129610574 194415861 259221148 324026435 388831722 453637009 518442296 583247583 648052870 777663444 907274018 972079305 1166495166 1296105740 1360911027 1555326888 1814548036 1944158610 2268185045 2332990332 2592211480 2721822054 2916237915 3629096072 3888317220 4082733081 4536370090 4665980664 5443644108 5832475830 6804555135 7776634440 8165466162 9072740180 10887288216 11664951660 13609110270 16330932324 18145480360 20413665405 23329903320 27218220540 32661864648 40827330810 54436441080 81654661620 163309323240