Search a number
-
+
41554397456 = 241113103176329
BaseRepresentation
bin100110101100110101…
…011100100100010000
310222020222221002221122
4212230311130210100
51140100411204311
631031222541412
73000520356545
oct465465344420
9128228832848
1041554397456
1116694412940
128078597868
133bc310c680
142022bd0bcc
1511331c90db
hex9acd5c910

41554397456 has 80 divisors (see below), whose sum is σ = 95505970560. Its totient is φ = 17266037760.

The previous prime is 41554397411. The next prime is 41554397473. The reversal of 41554397456 is 65479345514.

It is a junction number, because it is equal to n+sod(n) for n = 41554397398 and 41554397407.

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, 147500 + ... + 323828.

It is an arithmetic number, because the mean of its divisors is an integer number (1193824632).

Almost surely, 241554397456 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 41554397456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752985280).

41554397456 is an abundant number, since it is smaller than the sum of its proper divisors (53951573104).

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

41554397456 is a wasteful number, since it uses less digits than its factorization.

41554397456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176464 (or 176458 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 53.

The spelling of 41554397456 in words is "forty-one billion, five hundred fifty-four million, three hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 103 104 143 176 206 208 286 412 572 824 1133 1144 1339 1648 2266 2288 2678 4532 5356 9064 10712 14729 18128 21424 29458 58916 117832 176329 235664 352658 705316 1410632 1939619 2292277 2821264 3879238 4584554 7758476 9169108 15516952 18161887 18338216 25215047 31033904 36323774 36676432 50430094 72647548 100860188 145295096 199780757 201720376 236104531 290590192 399561514 403440752 472209062 799123028 944418124 1598246056 1888836248 2597149841 3196492112 3777672496 5194299682 10388599364 20777198728 41554397456