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4131064552005 = 335611034870361
BaseRepresentation
bin111100000111010110101…
…000101001101001000101
3112121220222222202210101000
4330013112220221221011
51020140410011131010
612441441310123513
7604313426214456
oct74072650515105
915556888683330
104131064552005
111352a7a274446
125687651b0599
1323c7333bc2a1
14103d31d5b12d
15726d25017c0
hex3c1d6a29a45

4131064552005 has 64 divisors (see below), whose sum is σ = 7536982602240. Its totient is φ = 2146075430400.

The previous prime is 4131064551953. The next prime is 4131064552019. The reversal of 4131064552005 is 5002554601314.

4131064552005 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 0 + 645 + 5 + 2 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 4131064552005 - 211 = 4131064549957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586976 + ... + 3283385.

It is an arithmetic number, because the mean of its divisors is an integer number (117765353160).

Almost surely, 24131064552005 is an apocalyptic number.

4131064552005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4131064552005 is a deficient number, since it is larger than the sum of its proper divisors (3405918050235).

4131064552005 is a wasteful number, since it uses less digits than its factorization.

4131064552005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870539 (or 4870533 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 4131064552005 in words is "four trillion, one hundred thirty-one billion, sixty-four million, five hundred fifty-two thousand, five".

Divisors: 1 3 5 9 15 27 45 61 103 135 183 305 309 515 549 915 927 1545 1647 2745 2781 4635 6283 8235 13905 18849 31415 56547 94245 169641 282735 848205 4870361 14611083 24351805 43833249 73055415 131499747 219166245 297092021 501647183 657498735 891276063 1485460105 1504941549 2508235915 2673828189 4456380315 4514824647 7524707745 8021484567 13369140945 13544473941 22574123235 30600478163 40107422835 67722369705 91801434489 153002390815 275404303467 459007172445 826212910401 1377021517335 4131064552005