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6006105600053 = 132915931314589
BaseRepresentation
bin101011101100110011111…
…0010100111000000110101
3210021011210211022011121112
41113121213302213000311
51241401001013200203
620435100011124405
71156632616154336
oct127314762470065
923234724264545
106006105600053
111a061a203a109
12810034743705
133474b12802b0
1416a9a8a4a28d
15a6374ece6d8
hex57667ca7035

6006105600053 has 8 divisors (see below), whose sum is σ = 6691152127800. Its totient is φ = 5352921701568.

The previous prime is 6006105600037. The next prime is 6006105600113. The reversal of 6006105600053 is 3500065016006.

It can be written as a sum of positive squares in 4 ways, for example, as 96893993284 + 5909211606769 = 311278^2 + 2430887^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6006105600053 - 24 = 6006105600037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6006105599992 and 6006105600019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006105500053) 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 7 ways as a sum of consecutive naturals, for example, 7965656918 + ... + 7965657671.

It is an arithmetic number, because the mean of its divisors is an integer number (836394015975).

Almost surely, 26006105600053 is an apocalyptic number.

It is an amenable number.

6006105600053 is a deficient number, since it is larger than the sum of its proper divisors (685046527747).

6006105600053 is a wasteful number, since it uses less digits than its factorization.

6006105600053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931314631.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 6006105600053 in words is "six trillion, six billion, one hundred five million, six hundred thousand, fifty-three".

Divisors: 1 13 29 377 15931314589 207107089657 462008123081 6006105600053