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41478853374 = 232719109115881
BaseRepresentation
bin100110101000010101…
…010001001011111110
310222001201210001221200
4212220111101023332
51134422041301444
631015523440330
72665612302450
oct465025211376
9128051701850
1041478853374
1116655805512
1280572260a6
133bb057c52a
142016b682d0
15112b755969
hex9a85512fe

41478853374 has 96 divisors (see below), whose sum is σ = 108221218560. Its totient is φ = 11216361600.

The previous prime is 41478853303. The next prime is 41478853411. The reversal of 41478853374 is 47335887414.

41478853374 is a `hidden beast` number, since 4 + 147 + 88 + 53 + 374 = 666.

41478853374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41478853374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603914 + ... + 2619794.

It is an arithmetic number, because the mean of its divisors is an integer number (1127304360).

Almost surely, 241478853374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41478853374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54110609280).

41478853374 is an abundant number, since it is smaller than the sum of its proper divisors (66742365186).

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

41478853374 is a wasteful number, since it uses less digits than its factorization.

41478853374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17006 (or 17003 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 41478853374 in words is "forty-one billion, four hundred seventy-eight million, eight hundred fifty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1091 1197 2182 2394 3273 6546 7637 9819 15274 15881 19638 20729 22911 31762 41458 45822 47643 62187 68733 95286 111167 124374 137466 142929 145103 186561 222334 285858 290206 301739 333501 373122 435309 603478 667002 870618 905217 1000503 1305927 1810434 2001006 2112173 2611854 2715651 4224346 5431302 6336519 12673038 17326171 19009557 34652342 38019114 51978513 103957026 121283197 155935539 242566394 311871078 329197249 363849591 658394498 727699182 987591747 1091548773 1975183494 2183097546 2304380743 2962775241 4608761486 5925550482 6913142229 13826284458 20739426687 41478853374