Search a number
-
+
21174622464 = 283233241491
BaseRepresentation
bin10011101110000110…
…110001100100000000
32000122200210021100110
4103232012301210000
5321331200404324
613421045351320
71346504215122
oct235606614400
960580707313
1021174622464
118a86582296
12412b408540
131cc5b55108
14104c2cb212
1583de42329
hex4ee1b1900

21174622464 has 144 divisors (see below), whose sum is σ = 56947834944. Its totient is φ = 6984499200.

The previous prime is 21174622453. The next prime is 21174622507. The reversal of 21174622464 is 46422647112.

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, 43125259 + ... + 43125749.

It is an arithmetic number, because the mean of its divisors is an integer number (395471076).

Almost surely, 221174622464 is an apocalyptic number.

21174622464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21174622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28473917472).

21174622464 is an abundant number, since it is smaller than the sum of its proper divisors (35773212480).

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

21174622464 is a wasteful number, since it uses less digits than its factorization.

21174622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The spelling of 21174622464 in words is "twenty-one billion, one hundred seventy-four million, six hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 241 256 384 466 482 491 699 723 768 932 964 982 1398 1446 1473 1864 1928 1964 2796 2892 2946 3728 3856 3928 5592 5784 5892 7456 7712 7856 11184 11568 11784 14912 15424 15712 22368 23136 23568 29824 30848 31424 44736 46272 47136 56153 59648 61696 62848 89472 92544 94272 112306 114403 118331 125696 168459 178944 185088 188544 224612 228806 236662 336918 343209 354993 377088 449224 457612 473324 673836 686418 709986 898448 915224 946648 1347672 1372836 1419972 1796896 1830448 1893296 2695344 2745672 2839944 3593792 3660896 3786592 5390688 5491344 5679888 7187584 7321792 7573184 10781376 10982688 11359776 14375168 14643584 15146368 21562752 21965376 22719552 27571123 29287168 30292736 43125504 43930752 45439104 55142246 82713369 87861504 90878208 110284492 165426738 220568984 330853476 441137968 661706952 882275936 1323413904 1764551872 2646827808 3529103744 5293655616 7058207488 10587311232 21174622464