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92345485456 = 2472108532
BaseRepresentation
bin101011000000000111…
…0000100100010010000
322211100201022201022001
41112000032010202100
53003110421013311
6110231204123344
76446256450400
oct1260016044220
9284321281261
1092345485456
113618868a024
1215a92396554
138928a319b3
14468060a800
1526072354c1
hex1580384890

92345485456 has 45 divisors (see below), whose sum is σ = 208149884121. Its totient is φ = 39572990016.

The previous prime is 92345485439. The next prime is 92345485469. The reversal of 92345485456 is 65458454329.

The square root of 92345485456 is 303884.

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., 49737920400 + 42607565056 = 223020^2 + 206416^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 92345485397 and 92345485406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8503326 + ... + 8514178.

Almost surely, 292345485456 is an apocalyptic number.

92345485456 is the 303884-th square number.

It is an amenable number.

92345485456 is an abundant number, since it is smaller than the sum of its proper divisors (115804398665).

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

92345485456 is an frugal number, since it uses more digits than its factorization.

92345485456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728 (or 10862 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 55.

It can be divided in two parts, 923454 and 85456, that added together give a triangular number (1008910 = T1420).

The spelling of 92345485456 in words is "ninety-two billion, three hundred forty-five million, four hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 10853 21706 43412 75971 86824 151942 173648 303884 531797 607768 1063594 1215536 2127188 4254376 8508752 117787609 235575218 471150436 824513263 942300872 1649026526 1884601744 3298053052 5771592841 6596106104 11543185682 13192212208 23086371364 46172742728 92345485456