Search a number
-
+
424789381680 = 24353157095347
BaseRepresentation
bin1100010111001110110…
…10111001001000110000
31111121110022011102210020
412023213122321020300
523424432040203210
6523051234403440
742455451111546
oct6134732711060
91447408142706
10424789381680
111541745937a4
126a3b1130580
1331099340421
14167ba5a1d96
15b0b2d65770
hex62e76b9230

424789381680 has 80 divisors (see below), whose sum is σ = 1359326045184. Its totient is φ = 109623064320.

The previous prime is 424789381657. The next prime is 424789381721. The reversal of 424789381680 is 86183987424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 28540234 + ... + 28555113.

Almost surely, 2424789381680 is an apocalyptic number.

424789381680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424789381680 is an abundant number, since it is smaller than the sum of its proper divisors (934536663504).

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

424789381680 is a wasteful number, since it uses less digits than its factorization.

424789381680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57095394 (or 57095388 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 424789381680 in words is "four hundred twenty-four billion, seven hundred eighty-nine million, three hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 57095347 114190694 171286041 228381388 285476735 342572082 456762776 570953470 685144164 856430205 913525552 1141906940 1370288328 1712860410 1769955757 2283813880 2740576656 3425720820 3539911514 4567627760 5309867271 6851441640 7079823028 8849778785 10619734542 13702883280 14159646056 17699557570 21239469084 26549336355 28319292112 35399115140 42478938168 53098672710 70798230280 84957876336 106197345420 141596460560 212394690840 424789381680