Search a number
-
+
4446934818560 = 285131123237973
BaseRepresentation
bin100000010110110000111…
…1110000101111100000000
3120202010022112101220002022
41000231201332011330000
51040324310303143220
613242521010141012
7636165122166623
oct100554176057400
916663275356068
104446934818560
111464a30856913
125b9a19581768
1326346214ca60
14115338adddba
157aa1d0cb925
hex40b61f85f00

4446934818560 has 144 divisors (see below), whose sum is σ = 11481430677024. Its totient is φ = 1640476164096.

The previous prime is 4446934818541. The next prime is 4446934818577. The reversal of 4446934818560 is 658184396444.

It is a junction number, because it is equal to n+sod(n) for n = 4446934818493 and 4446934818502.

It is a congruent number.

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, 18567734 + ... + 18805706.

Almost surely, 24446934818560 is an apocalyptic number.

4446934818560 is a gapful number since it is divisible by the number (40) 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 4446934818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740715338512).

4446934818560 is an abundant number, since it is smaller than the sum of its proper divisors (7034495858464).

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

4446934818560 is a wasteful number, since it uses less digits than its factorization.

4446934818560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239130 (or 239116 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 62.

The spelling of 4446934818560 in words is "four trillion, four hundred forty-six billion, nine hundred thirty-four million, eight hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1123 1280 1664 2080 2246 3328 4160 4492 5615 8320 8984 11230 14599 16640 17968 22460 29198 35936 44920 58396 71872 72995 89840 116792 143744 145990 179680 233584 237973 287488 291980 359360 467168 475946 583960 718720 934336 951892 1167920 1189865 1437440 1868672 1903784 2335840 2379730 3093649 3737344 3807568 4671680 4759460 6187298 7615136 9343360 9518920 12374596 15230272 15468245 18686720 19037840 24749192 30460544 30936490 38075680 49498384 60921088 61872980 76151360 98996768 123745960 152302720 197993536 247491920 267243679 304605440 395987072 494983840 534487358 791974144 989967680 1068974716 1336218395 1979935360 2137949432 2672436790 3474167827 3959870720 4275898864 5344873580 6948335654 8551797728 10689747160 13896671308 17103595456 17370839135 21379494320 27793342616 34207190912 34741678270 42758988640 55586685232 68414381824 69483356540 85517977280 111173370464 138966713080 171035954560 222346740928 277933426160 342071909120 444693481856 555866852320 889386963712 1111733704640 2223467409280 4446934818560