Search a number
-
+
450181160448 = 29313112911733
BaseRepresentation
bin1101000110100001110…
…00110101111000000000
31121000222220021110000220
412203100320311320000
524333432334113243
6542451012343040
744344623504225
oct6432070657000
91530886243026
10450181160448
11163a1458aa28
12732b8914a80
13335b4a9a1a6
1417b089ad94c
15ba9c125783
hex68d0e35e00

450181160448 has 160 divisors (see below), whose sum is σ = 1210099727232. Its totient is φ = 148713676800.

The previous prime is 450181160437. The next prime is 450181160477. The reversal of 450181160448 is 844061181054.

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, 259768990 + ... + 259770722.

Almost surely, 2450181160448 is an apocalyptic number.

450181160448 is a gapful number since it is divisible by the number (48) 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 450181160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605049863616).

450181160448 is an abundant number, since it is smaller than the sum of its proper divisors (759918566784).

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

450181160448 is a wasteful number, since it uses less digits than its factorization.

450181160448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 450181160448 in words is "four hundred fifty billion, one hundred eighty-one million, one hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1048 1291 1536 1572 1733 2096 2582 3144 3466 3873 4192 5164 5199 6288 6932 7746 8384 10328 10398 12576 13864 15492 16768 20656 20796 25152 27728 30984 33536 41312 41592 50304 55456 61968 67072 82624 83184 100608 110912 123936 165248 166368 169121 201216 221824 227023 247872 330496 332736 338242 443648 454046 495744 507363 660992 665472 676484 681069 887296 908092 991488 1014726 1330944 1352968 1362138 1816184 1982976 2029452 2237303 2661888 2705936 2724276 3632368 4058904 4474606 5411872 5448552 6711909 7264736 8117808 8949212 10823744 10897104 13423818 14529472 16235616 17898424 21647488 21794208 26847636 29058944 32471232 35796848 43294976 43588416 53695272 58117888 64942464 71593696 86589952 87176832 107390544 116235776 129884928 143187392 174353664 214781088 259769856 286374784 293086693 348707328 429562176 572749568 586173386 859124352 879260079 1145499136 1172346772 1718248704 1758520158 2344693544 3436497408 3517040316 4689387088 7034080632 9378774176 14068161264 18757548352 28136322528 37515096704 56272645056 75030193408 112545290112 150060386816 225090580224 450181160448