Search a number
-
+
448831306056 = 2337131179113933
BaseRepresentation
bin1101000100000000110…
…11100011100101001000
31120220111211021201220210
412202000123203211020
524323201303243211
6542105032321120
744266313103540
oct6420033434510
91526454251823
10448831306056
11163391631391
1272ba08431a0
133342b228193
1417a1b5d2320
15ba1d8889a6
hex68806e3948

448831306056 has 128 divisors (see below), whose sum is σ = 1299394483200. Its totient is φ = 126546551040.

The previous prime is 448831306031. The next prime is 448831306069. The reversal of 448831306056 is 650603138844.

It is a junction number, because it is equal to n+sod(n) for n = 448831305996 and 448831306014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3882466 + ... + 3996398.

It is an arithmetic number, because the mean of its divisors is an integer number (10151519400).

Almost surely, 2448831306056 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 448831306056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649697241600).

448831306056 is an abundant number, since it is smaller than the sum of its proper divisors (850563177144).

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

448831306056 is a wasteful number, since it uses less digits than its factorization.

448831306056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114259 (or 114255 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 448831306056 in words is "four hundred forty-eight billion, eight hundred thirty-one million, three hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 179 262 358 393 524 537 716 786 917 1048 1074 1253 1432 1572 1834 2148 2506 2751 3144 3668 3759 4296 5012 5502 7336 7518 10024 11004 15036 22008 23449 30072 46898 70347 93796 113933 140694 164143 187592 227866 281388 328286 341799 455732 492429 562776 656572 683598 797531 911464 984858 1313144 1367196 1595062 1969716 2392593 2734392 3190124 3939432 4785186 6380248 9570372 14925223 19140744 20394007 29850446 40788014 44775669 59700892 61182021 81576028 89551338 104476561 119401784 122364042 142758049 163152056 179102676 208953122 244728084 285516098 313429683 358205352 417906244 428274147 489456168 571032196 626859366 835812488 856548294 1142064392 1253718732 1713096588 2507437464 2671614917 3426193176 5343229834 8014844751 10686459668 16029689502 18701304419 21372919336 32059379004 37402608838 56103913257 64118758008 74805217676 112207826514 149610435352 224415653028 448831306056