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239488869376 = 2104123732
BaseRepresentation
bin1101111100001010100…
…1100010010000000000
3211220011101120002121001
43133002221202100000
512410433122310001
6302004125341344
723205520542031
oct3370251422000
9756141502531
10239488869376
1192626250239
123a4b8407854
1319778520283
14b83c83aa88
15636a145001
hex37c2a62400

239488869376 has 99 divisors (see below), whose sum is σ = 492024430443. Its totient is φ = 116510638080.

The previous prime is 239488869371. The next prime is 239488869407. The reversal of 239488869376 is 673968884932.

The square root of 239488869376 is 489376.

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 59224089600 + 180264779776 = 243360^2 + 424576^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 239488869299 and 239488869308.

It is not an unprimeable number, because it can be changed into a prime (239488869371) 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, 642061126 + ... + 642061498.

Almost surely, 2239488869376 is an apocalyptic number.

239488869376 is the 489376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239488869376

239488869376 is an abundant number, since it is smaller than the sum of its proper divisors (252535561067).

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

239488869376 is an frugal number, since it uses more digits than its factorization.

239488869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 416 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 73.

The spelling of 239488869376 in words is "two hundred thirty-nine billion, four hundred eighty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 373 512 656 746 1024 1312 1492 1681 2624 2984 3362 5248 5968 6724 10496 11936 13448 15293 20992 23872 26896 30586 41984 47744 53792 61172 95488 107584 122344 139129 190976 215168 244688 278258 381952 430336 489376 556516 627013 860672 978752 1113032 1254026 1721344 1957504 2226064 2508052 3915008 4452128 5016104 5704289 7830016 8904256 10032208 11408578 15660032 17808512 20064416 22817156 35617024 40128832 45634312 71234048 80257664 91268624 142468096 160515328 182537248 233875849 321030656 365074496 467751698 642061312 730148992 935503396 1460297984 1871006792 2920595968 3742013584 5841191936 7484027168 14968054336 29936108672 59872217344 119744434688 239488869376