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17389696900 = 2252131872
BaseRepresentation
bin10000001100100000…
…011011011110000100
31122212220210010120011
4100030200123132010
5241103230300100
611553321320004
71153634661532
oct201440333604
948786703504
1017389696900
117414037734
123453936004
1318419681a4
14bad761152
156bba02bba
hex40c81b784

17389696900 has 27 divisors (see below), whose sum is σ = 37738504069. Its totient is φ = 6955351280.

The previous prime is 17389696861. The next prime is 17389696901. The reversal of 17389696900 is 969698371.

The square root of 17389696900 is 131870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6260290884 + 11129406016 = 79122^2 + 105496^2 .

It is a super-2 number, since 2×173896969002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17389696901) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1312107 + ... + 1325293.

Almost surely, 217389696900 is an apocalyptic number.

17389696900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17389696900 is the 131870-th square number.

It is an amenable number.

17389696900 is an abundant number, since it is smaller than the sum of its proper divisors (20348807169).

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

17389696900 is an frugal number, since it uses more digits than its factorization.

17389696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 17389696900 in words is "seventeen billion, three hundred eighty-nine million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13187 26374 52748 65935 131870 263740 329675 659350 1318700 173896969 347793938 695587876 869484845 1738969690 3477939380 4347424225 8694848450 17389696900