Search a number
-
+
41333356352 = 2619210117713
BaseRepresentation
bin100110011111101010…
…001111011101000000
310221200121000001120002
4212133222033131000
51134122314400402
630553245135132
72662164506051
oct463752173500
9127617001502
1041333356352
1116590669442
12801655a4a8
133b89399112
1420016d2728
15111dab5602
hex99fa8f740

41333356352 has 84 divisors (see below), whose sum is σ = 87426986436. Its totient is φ = 19384012800.

The previous prime is 41333356331. The next prime is 41333356357. The reversal of 41333356352 is 25365333314.

It can be written as a sum of positive squares in 2 ways, for example, as 39226179136 + 2107177216 = 198056^2 + 45904^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41333356357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324648 + ... + 2342360.

Almost surely, 241333356352 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 41333356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43713493218).

41333356352 is an abundant number, since it is smaller than the sum of its proper divisors (46093630084).

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

41333356352 is a wasteful number, since it uses less digits than its factorization.

41333356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17864 (or 17835 counting only the distinct ones).

The product of its digits is 291600, while the sum is 38.

Adding to 41333356352 its reverse (25365333314), we get a palindrome (66698689666).

The spelling of 41333356352 in words is "forty-one billion, three hundred thirty-three million, three hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 361 404 608 722 808 1216 1444 1616 1919 2888 3232 3838 5776 6464 7676 11552 15352 17713 23104 30704 35426 36461 61408 70852 72922 122816 141704 145844 283408 291688 336547 566816 583376 673094 1133632 1166752 1346188 1789013 2333504 2692376 3578026 5384752 6394393 7156052 10769504 12788786 14312104 21539008 25577572 28624208 33991247 51155144 57248416 67982494 102310288 114496832 135964988 204620576 271929976 409241152 543859952 645833693 1087719904 1291667386 2175439808 2583334772 5166669544 10333339088 20666678176 41333356352