Search a number
-
+
44783774464 = 28111310611153
BaseRepresentation
bin101001101101010100…
…100010101100000000
311021121001120110101111
4221231110202230000
51213204121240324
632323503413104
73143532542062
oct515524425400
9137531513344
1044783774464
1117aa1300660
128819bb4194
1342b9195740
14224ba65732
15127197b794
hexa6d522b00

44783774464 has 144 divisors (see below), whose sum is σ = 105210844704. Its totient is φ = 18756403200.

The previous prime is 44783774449. The next prime is 44783774473. The reversal of 44783774464 is 46447738744.

It is a junction number, because it is equal to n+sod(n) for n = 44783774399 and 44783774408.

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, 38840512 + ... + 38841664.

It is an arithmetic number, because the mean of its divisors is an integer number (730630866).

Almost surely, 244783774464 is an apocalyptic number.

44783774464 is a gapful number since it is divisible by the number (44) 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 44783774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52605422352).

44783774464 is an abundant number, since it is smaller than the sum of its proper divisors (60427070240).

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

44783774464 is a wasteful number, since it uses less digits than its factorization.

44783774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2240 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 58.

The spelling of 44783774464 in words is "forty-four billion, seven hundred eighty-three million, seven hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1061 1144 1153 1408 1664 2122 2288 2306 2816 3328 4244 4576 4612 8488 9152 9224 11671 12683 13793 14989 16976 18304 18448 23342 25366 27586 29978 33952 36608 36896 46684 50732 55172 59956 67904 73792 93368 101464 110344 119912 135808 147584 151723 164879 186736 202928 220688 239824 271616 295168 303446 329758 373472 405856 441376 479648 606892 659516 746944 811712 882752 959296 1213784 1223333 1319032 1493888 1623424 1765504 1918592 2427568 2446666 2638064 2987776 3246848 3531008 3837184 4855136 4893332 5276128 9710272 9786664 10552256 13456663 15903329 19420544 19573328 21104512 26913326 31806658 38841088 39146656 42209024 53826652 63613316 78293312 107653304 127226632 156586624 174936619 215306608 254453264 313173248 349873238 430613216 508906528 699746476 861226432 1017813056 1399492952 1722452864 2035626112 2798985904 3444905728 4071252224 5597971808 11195943616 22391887232 44783774464