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17137003805 = 537101917153
BaseRepresentation
bin11111111010111000…
…11110110100011101
31122020022021222210122
433331130132310131
5240044033110210
611512253244325
71144446062135
oct177534366435
948208258718
1017137003805
1172a4434669
1233a31936a5
1318014c1a4c
14b87d83ac5
156a473ab55
hex3fd71ed1d

17137003805 has 16 divisors (see below), whose sum is σ = 21329333424. Its totient is φ = 13206988800.

The previous prime is 17137003801. The next prime is 17137003831. The reversal of 17137003805 is 50830073171.

It can be written as a sum of positive squares in 8 ways, for example, as 517153081 + 16619850724 = 22741^2 + 128918^2 .

It is not a de Polignac number, because 17137003805 - 22 = 17137003801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17137003801) 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 15 ways as a sum of consecutive naturals, for example, 439892 + ... + 477261.

It is an arithmetic number, because the mean of its divisors is an integer number (1333083339).

Almost surely, 217137003805 is an apocalyptic number.

It is an amenable number.

17137003805 is a deficient number, since it is larger than the sum of its proper divisors (4192329619).

17137003805 is a wasteful number, since it uses less digits than its factorization.

17137003805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917296.

The product of its (nonzero) digits is 17640, while the sum is 35.

Adding to 17137003805 its reverse (50830073171), we get a palindrome (67967076976).

The spelling of 17137003805 in words is "seventeen billion, one hundred thirty-seven million, three thousand, eight hundred five".

Divisors: 1 5 37 101 185 505 3737 18685 917153 4585765 33934661 92632453 169673305 463162265 3427400761 17137003805