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917013081664 = 261197012
BaseRepresentation
bin11010101100000100011…
…11010010111001000000
310020122222012220011211001
431112002033102321000
5110011020322103124
61541134152501344
7123152303404501
oct15260217227100
93218865804731
10917013081664
113239a2a83969
121298819aa854
13686213ac934
1432552b0cba8
1518cc0e39b44
hexd5823d2e40

917013081664 has 21 divisors (see below), whose sum is σ = 1819713036081. Its totient is φ = 458502710400.

The previous prime is 917013081659. The next prime is 917013081667. The reversal of 917013081664 is 466180310719.

The square root of 917013081664 is 957608.

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., 896415091264 + 20597990400 = 946792^2 + 143520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (917013081667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7601014 + ... + 7720714.

Almost surely, 2917013081664 is an apocalyptic number.

917013081664 is the 957608-th square number.

It is an amenable number.

917013081664 is a deficient number, since it is larger than the sum of its proper divisors (902699954417).

917013081664 is an frugal number, since it uses more digits than its factorization.

917013081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239414 (or 119703 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 917013081664 in words is "nine hundred seventeen billion, thirteen million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 119701 239402 478804 957608 1915216 3830432 7660864 14328329401 28656658802 57313317604 114626635208 229253270416 458506540832 917013081664