Search a number
-
+
20369043648 = 263313678623
BaseRepresentation
bin10010111110000101…
…101111000011000000
31221120112221121222000
4102332011233003000
5313203433344043
613205111144000
71320523004622
oct227605570300
957515847860
1020369043648
118702880a78
123b45675000
131bc7c9ab65
14db330cc12
157e33672d3
hex4be16f0c0

20369043648 has 112 divisors (see below), whose sum is σ = 59931970560. Its totient is φ = 6783927552.

The previous prime is 20369043637. The next prime is 20369043671. The reversal of 20369043648 is 84634096302.

20369043648 is a `hidden beast` number, since 203 + 6 + 9 + 0 + 436 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357865 + ... + 2366487.

It is an arithmetic number, because the mean of its divisors is an integer number (535106880).

Almost surely, 220369043648 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 20369043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29965985280).

20369043648 is an abundant number, since it is smaller than the sum of its proper divisors (39562926912).

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

20369043648 is a wasteful number, since it uses less digits than its factorization.

20369043648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20369043648 in words is "twenty billion, three hundred sixty-nine million, forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1367 1728 2734 4101 5468 8202 8623 10936 12303 16404 17246 21872 24606 25869 32808 34492 36909 43744 49212 51738 65616 68984 73818 77607 87488 98424 103476 131232 137968 147636 155214 196848 206952 232821 262464 275936 295272 310428 393696 413904 465642 551872 590544 620856 787392 827808 931284 1181088 1241712 1655616 1862568 2362176 2483424 3725136 4966848 7450272 11787641 14900544 23575282 35362923 47150564 70725846 94301128 106088769 141451692 188602256 212177538 282903384 318266307 377204512 424355076 565806768 636532614 754409024 848710152 1131613536 1273065228 1697420304 2263227072 2546130456 3394840608 5092260912 6789681216 10184521824 20369043648