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41552051424 = 253136727417
BaseRepresentation
bin100110101100101100…
…011111110011100000
310222020211111220210120
4212230230133303200
51140044311121144
631031100400240
73000461416032
oct465454376340
9128224456716
1041552051424
1116693060274
128077846080
133bc279a8a0
14202277dc52
151132db3e19
hex9acb1fce0

41552051424 has 144 divisors (see below), whose sum is σ = 119259898128. Its totient is φ = 12592723968.

The previous prime is 41552051419. The next prime is 41552051507. The reversal of 41552051424 is 42415025514.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5598564 + ... + 5605980.

It is an arithmetic number, because the mean of its divisors is an integer number (828193737).

Almost surely, 241552051424 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 41552051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59629949064).

41552051424 is an abundant number, since it is smaller than the sum of its proper divisors (77707846704).

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

41552051424 is a wasteful number, since it uses less digits than its factorization.

41552051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 41552051424 its reverse (42415025514), we get a palindrome (83967076938).

The spelling of 41552051424 in words is "forty-one billion, five hundred fifty-two million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 4489 5226 6432 6968 7417 8978 10452 13467 13936 14834 17956 20904 22251 26934 27872 29668 35912 41808 44502 53868 58357 59336 71824 83616 89004 96421 107736 116714 118672 143648 175071 178008 192842 215472 233428 237344 289263 350142 356016 385684 430944 466856 496939 578526 700284 712032 771368 933712 993878 1157052 1400568 1490817 1542736 1867424 1987756 2314104 2801136 2981634 3085472 3975512 4628208 5602272 5963268 6460207 7951024 9256416 11926536 12920414 15902048 19380621 23853072 25840828 33294913 38761242 47706144 51681656 66589826 77522484 99884739 103363312 133179652 155044968 199769478 206726624 266359304 310089936 399538956 432833869 532718608 620179872 799077912 865667738 1065437216 1298501607 1598155824 1731335476 2597003214 3196311648 3462670952 5194006428 6925341904 10388012856 13850683808 20776025712 41552051424