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41513073631 = 3741431016301
BaseRepresentation
bin100110101010010111…
…110011101111011111
310222011010011122022121
4212222113303233133
51140004321324011
631023145123411
72666506206121
oct465227635737
9128133148277
1041513073631
1116673058717
128066789567
133bb76a13c3
14201b515211
15112e764e71
hex9aa5f3bdf

41513073631 has 32 divisors (see below), whose sum is σ = 45140268096. Its totient is φ = 38102400000.

The previous prime is 41513073601. The next prime is 41513073643. The reversal of 41513073631 is 13637031514.

It is a 10-Lehmer number, since φ(41513073631) divides (41513073631-1)10.

It is a cyclic number.

It is not a de Polignac number, because 41513073631 - 223 = 41504685023 is a prime.

It is a super-3 number, since 3×415130736313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41513073601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6585181 + ... + 6591481.

It is an arithmetic number, because the mean of its divisors is an integer number (1410633378).

Almost surely, 241513073631 is an apocalyptic number.

41513073631 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41513073631 is a deficient number, since it is larger than the sum of its proper divisors (3627194465).

41513073631 is a wasteful number, since it uses less digits than its factorization.

41513073631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523.

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 41513073631 in words is "forty-one billion, five hundred thirteen million, seventy-three thousand, six hundred thirty-one".

Divisors: 1 37 41 43 101 1517 1591 1763 3737 4141 4343 6301 65231 153217 160691 178063 233137 258341 270943 636401 6588331 9558617 10024891 11108663 23546837 26092441 27365243 411020531 965420317 1012513991 1121974963 41513073631