Search a number
-
+
4097790806301 = 333710159967801
BaseRepresentation
bin111011101000010111010…
…111011000100100011101
3112111202010002100101011000
4323220113113120210131
51014114233421300201
612414255450220513
7602025035101503
oct73502727304435
915452102311130
104097790806301
11133a955098855
12562219a24739
1323955ca07c6a
14102496c0c673
15718d62add86
hex3ba175d891d

4097790806301 has 64 divisors (see below), whose sum is σ = 6307213248000. Its totient is φ = 2627277120000.

The previous prime is 4097790806297. The next prime is 4097790806321. The reversal of 4097790806301 is 1036080977904.

It is a happy number.

4097790806301 is a `hidden beast` number, since 409 + 77 + 90 + 80 + 6 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 4097790806301 - 22 = 4097790806297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097790806321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60404601 + ... + 60472401.

It is an arithmetic number, because the mean of its divisors is an integer number (98550207000).

Almost surely, 24097790806301 is an apocalyptic number.

It is an amenable number.

4097790806301 is a deficient number, since it is larger than the sum of its proper divisors (2209422441699).

4097790806301 is a wasteful number, since it uses less digits than its factorization.

4097790806301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68547 (or 68541 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 4097790806301 in words is "four trillion, ninety-seven billion, seven hundred ninety million, eight hundred six thousand, three hundred one".

Divisors: 1 3 9 27 37 101 111 303 333 599 909 999 1797 2727 3737 5391 11211 16173 22163 33633 60499 66489 67801 100899 181497 199467 203403 544491 598401 610209 1633473 1830627 2238463 2508637 6715389 6847901 7525911 20146167 20543703 22577733 40612799 60438501 61631109 67733199 121838397 184893327 253372337 365515191 760117011 1096545573 1502673563 2280351033 4101892699 4508020689 6841053099 12305678097 13524062067 36917034291 40572186201 110751102873 151770029863 455310089589 1365930268767 4097790806301