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239621545521796 = 2241231126072
BaseRepresentation
bin110110011110111100111101…
…000110011111001010000100
31011102102121002111200121110211
4312132330331012133022010
5222401424411123144141
62205344341320525204
7101321041164365554
oct6636747506371204
91142377074617424
10239621545521796
116a394a21587489
1222a60316920804
13a3922a3b63179
144325a5d5b5164
151ca818db6ad81
hexd9ef3d19f284

239621545521796 has 81 divisors (see below), whose sum is σ = 431912947752741. Its totient is φ = 116320762881600.

The previous prime is 239621545521793. The next prime is 239621545521803. The reversal of 239621545521796 is 697125545126932.

It is a happy number.

The square root of 239621545521796 is 15479714.

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., 11546308856196 + 228075236665600 = 3397986^2 + 15102160^2 .

It is a super-2 number, since 2×2396215455217962 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (239621545521793) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394763666125 + ... + 394763666731.

Almost surely, 2239621545521796 is an apocalyptic number.

239621545521796 is the 15479714-th square number.

It is an amenable number.

239621545521796 is a deficient number, since it is larger than the sum of its proper divisors (192291402230945).

239621545521796 is an frugal number, since it uses more digits than its factorization.

239621545521796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 961 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 67.

The spelling of 239621545521796 in words is "two hundred thirty-nine trillion, six hundred twenty-one billion, five hundred forty-five million, five hundred twenty-one thousand, seven hundred ninety-six".

Divisors: 1 2 4 41 82 164 311 607 622 1214 1244 1681 2428 3362 6724 12751 24887 25502 49774 51004 96721 99548 188777 193442 368449 377554 386884 522791 736898 755108 1020367 1045582 1473796 2040734 2091164 3965561 4081468 7739857 7931122 15106409 15479714 15862244 30212818 30959428 58709647 60425636 114587639 117419294 162588001 229175278 234838588 317334137 325176002 458350556 619362769 634668274 650352004 1238725538 1269336548 2407095527 2477451076 4698093199 4814191054 9396186398 9628382108 18792372796 35636755729 71273511458 98690916607 142547022916 192621821159 197381833214 385243642318 394763666428 770487284636 1461106984889 2922213969778 5844427939556 59905386380449 119810772760898 239621545521796