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161832416656 = 2416326172
BaseRepresentation
bin1001011010110111110…
…1101011010110010000
3120110201101020120002111
42112231331223112100
510122413044313111
6202202250155104
714456233562551
oct2265575532620
9513641216074
10161832416656
11626a61a8999
1227445422a94
1312350a99931
147b93028328
15432279aa21
hex25adf6b590

161832416656 has 45 divisors (see below), whose sum is σ = 315997880961. Its totient is φ = 80289449856.

The previous prime is 161832416653. The next prime is 161832416671. The reversal of 161832416656 is 656614238161.

The square root of 161832416656 is 402284.

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., 4686771600 + 157145645056 = 68460^2 + 396416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161832416651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 262288860 + ... + 262289476.

Almost surely, 2161832416656 is an apocalyptic number.

161832416656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161832416656 is the 402284-th square number.

It is an amenable number.

161832416656 is a deficient number, since it is larger than the sum of its proper divisors (154165464305).

161832416656 is an frugal number, since it uses more digits than its factorization.

161832416656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 782 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 161832416656 by its sum of digits (49), we get a square (7929788416144 = 28159882).

The spelling of 161832416656 in words is "one hundred sixty-one billion, eight hundred thirty-two million, four hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 163 326 617 652 1234 1304 2468 2608 4936 9872 26569 53138 100571 106276 201142 212552 380689 402284 425104 761378 804568 1522756 1609136 3045512 6091024 16393073 32786146 62052307 65572292 124104614 131144584 248209228 262289168 496418456 992836912 10114526041 20229052082 40458104164 80916208328 161832416656