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13541407005 = 357240134591
BaseRepresentation
bin11001001110010000…
…10111100100011101
31021221201112202020210
430213020113210131
5210213100011010
610115411203033
7656366026500
oct144710274435
937851482223
1013541407005
115819853565
12275aba6479
13137a5c3b89
1492661d137
15543c48b20
hex32721791d

13541407005 has 48 divisors (see below), whose sum is σ = 25215369984. Its totient is φ = 6187466880.

The previous prime is 13541406959. The next prime is 13541407057. The reversal of 13541407005 is 50070414531.

13541407005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13541407005 - 26 = 13541406941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947260 + ... + 2951850.

It is an arithmetic number, because the mean of its divisors is an integer number (525320208).

Almost surely, 213541407005 is an apocalyptic number.

13541407005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13541407005 is a deficient number, since it is larger than the sum of its proper divisors (11673962979).

13541407005 is a wasteful number, since it uses less digits than its factorization.

13541407005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 13541407005 in words is "thirteen billion, five hundred forty-one million, four hundred seven thousand, five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 4013 4591 12039 13773 20065 22955 28091 32137 60195 68865 84273 96411 140455 160685 196637 224959 421365 482055 589911 674877 983185 1124795 2949555 3374385 18423683 55271049 92118415 128965781 276355245 386897343 644828905 902760467 1934486715 2708281401 4513802335 13541407005