Search a number
-
+
20413344048 = 2431771463761
BaseRepresentation
bin10011000000101110…
…101110100100110000
31221200122022022200120
4103000232232210300
5313301304002143
613213332450240
71321601363406
oct230056564460
957618268616
1020413344048
118725889579
123b58479980
131c0420bc06
14db9161476
157e71b8383
hex4c0bae930

20413344048 has 160 divisors (see below), whose sum is σ = 56819791872. Its totient is φ = 6292070400.

The previous prime is 20413344047. The next prime is 20413344053. The reversal of 20413344048 is 84044331402.

It is not an unprimeable number, because it can be changed into a prime (20413344047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26823988 + ... + 26824748.

Almost surely, 220413344048 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 20413344048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409895936).

20413344048 is an abundant number, since it is smaller than the sum of its proper divisors (36406447824).

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

20413344048 is a wasteful number, since it uses less digits than its factorization.

20413344048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 20413344048 in words is "twenty billion, four hundred thirteen million, three hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 463 568 761 816 852 926 1136 1207 1389 1522 1704 1852 2283 2414 2778 3044 3408 3621 3704 4566 4828 5556 6088 7242 7408 7871 9132 9656 11112 12176 12937 14484 15742 18264 19312 22224 23613 25874 28968 31484 32873 36528 38811 47226 51748 54031 57936 62968 65746 77622 94452 98619 103496 108062 125936 131492 155244 162093 188904 197238 206992 216124 262984 310488 324186 352343 377808 394476 432248 525968 558841 620976 648372 704686 788952 864496 918527 1057029 1117682 1296744 1409372 1577904 1676523 1837054 2114058 2235364 2593488 2755581 2818744 3353046 3674108 4228116 4470728 5511162 5637488 5989831 6706092 7348216 8456232 8941456 11022324 11979662 13412184 14696432 16912464 17969493 22044648 23959324 25016353 26824368 35938986 44089296 47918648 50032706 71877972 75049059 95837296 100065412 143755944 150098118 200130824 287511888 300196236 400261648 425278001 600392472 850556002 1200784944 1275834003 1701112004 2551668006 3402224008 5103336012 6804448016 10206672024 20413344048