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17232121040 = 245215401513
BaseRepresentation
bin10000000011000111…
…010100110011010000
31122110221021110010012
4100003013110303100
5240242410333130
611525532054052
71150012416641
oct200307246320
948427243105
1017232121040
1173430a0652
12340b004328
131818115c34
14b968636c8
156acc78995
hex4031d4cd0

17232121040 has 20 divisors (see below), whose sum is σ = 40064681604. Its totient is φ = 6892848384.

The previous prime is 17232120967. The next prime is 17232121051. The reversal of 17232121040 is 4012123271.

It can be written as a sum of positive squares in 2 ways, for example, as 12808806976 + 4423314064 = 113176^2 + 66508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 17232120997 and 17232121015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107700677 + ... + 107700836.

Almost surely, 217232121040 is an apocalyptic number.

17232121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17232121040 is an abundant number, since it is smaller than the sum of its proper divisors (22832560564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17232121040 is a wasteful number, since it uses less digits than its factorization.

17232121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215401526 (or 215401520 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 17232121040 in words is "seventeen billion, two hundred thirty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 215401513 430803026 861606052 1077007565 1723212104 2154015130 3446424208 4308030260 8616060520 17232121040