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17332240928 = 25172374
BaseRepresentation
bin10000001001000101…
…010000001000100000
31122201220200001210012
4100021011100020200
5240444023202203
611543510024052
71152336421442
oct201105201040
948656601705
1017332240928
117394664162
123438648028
131832a9c182
14ba5c86492
156b6953bd8
hex409150220

17332240928 has 90 divisors (see below), whose sum is σ = 37255040361. Its totient is φ = 7935906816.

The previous prime is 17332240927. The next prime is 17332240943. The reversal of 17332240928 is 82904223371.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 15122112784 + 2210128144 = 122972^2 + 47012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=93092.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17332240927) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 468438926 + ... + 468438962.

Almost surely, 217332240928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17332240928

17332240928 is an abundant number, since it is smaller than the sum of its proper divisors (19922799433).

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

17332240928 is an frugal number, since it uses more digits than its factorization.

17332240928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 17332240928 in words is "seventeen billion, three hundred thirty-two million, two hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 289 296 544 578 592 629 1156 1184 1258 1369 2312 2516 2738 4624 5032 5476 9248 10064 10693 10952 20128 21386 21904 23273 42772 43808 46546 50653 85544 93092 101306 171088 186184 202612 342176 372368 395641 405224 744736 791282 810448 861101 1582564 1620896 1722202 1874161 3165128 3444404 3748322 6330256 6888808 7496644 12660512 13777616 14638717 14993288 27555232 29277434 29986576 31860737 58554868 59973152 63721474 117109736 127442948 234219472 254885896 468438944 509771792 541632529 1019543584 1083265058 2166530116 4333060232 8666120464 17332240928