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97435125316 = 2297216092
BaseRepresentation
bin101101010111110010…
…1100000011001000100
3100022111102101012122001
41122233211200121010
53044021343002231
6112432220515044
710016350620514
oct1325745403104
9308442335561
1097435125316
113835a651861
1216a729aba84
13925a317609
144a04563844
152803e96b61
hex16af960644

97435125316 has 27 divisors (see below), whose sum is σ = 172394585559. Its totient is φ = 48185353728.

The previous prime is 97435125313. The next prime is 97435125317. The reversal of 97435125316 is 61352153479.

The square root of 97435125316 is 312146.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29676952900 + 67758172416 = 172270^2 + 260304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97435125313) 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 8 ways as a sum of consecutive naturals, for example, 60555520 + ... + 60557128.

Almost surely, 297435125316 is an apocalyptic number.

97435125316 is the 312146-th square number.

It is an amenable number.

97435125316 is a deficient number, since it is larger than the sum of its proper divisors (74959460243).

97435125316 is an frugal number, since it uses more digits than its factorization.

97435125316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 1708 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The spelling of 97435125316 in words is "ninety-seven billion, four hundred thirty-five million, one hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 4 97 194 388 1609 3218 6436 9409 18818 37636 156073 312146 624292 2588881 5177762 10355524 15139081 30278162 60556324 251121457 502242914 1004485828 24358781329 48717562658 97435125316