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119522879753104 = 2429279211932
BaseRepresentation
bin11011001011010010010110…
…110010100100101110010000
3120200012021102222212012120001
4123023102112302210232100
5111131230324204044404
61102112015234055344
734114146245044162
oct3313222662445620
9520167388765501
10119522879753104
11350a1406735983
12114a440271a554
13518cc61488959
142172d1c796932
15dc40e74cd7a4
hex6cb496ca4b90

119522879753104 has 135 divisors (see below), whose sum is σ = 243114417385203. Its totient is φ = 56922558131712.

The previous prime is 119522879753093. The next prime is 119522879753107. The reversal of 119522879753104 is 401357978225911.

The square root of 119522879753104 is 10932652.

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 172673491600 + 119350206261504 = 415540^2 + 10924752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119522879753107) 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, 100186822332 + ... + 100186823524.

Almost surely, 2119522879753104 is an apocalyptic number.

119522879753104 is the 10932652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119522879753104

119522879753104 is an abundant number, since it is smaller than the sum of its proper divisors (123591537632099).

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

119522879753104 is an frugal number, since it uses more digits than its factorization.

119522879753104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 119522879753104 in words is "one hundred nineteen trillion, five hundred twenty-two billion, eight hundred seventy-nine million, seven hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 316 464 632 841 1193 1264 1682 2291 2386 3364 4582 4772 6241 6728 9164 9544 12482 13456 18328 19088 24964 34597 36656 49928 66439 69194 94247 99856 132878 138388 180989 188494 265756 276776 361978 376988 531512 553552 723956 753976 1003313 1063024 1423249 1447912 1507952 2006626 2733163 2846498 2895824 4013252 5248681 5466326 5692996 7445513 8026504 10497362 10932652 11385992 14891026 16053008 20994724 21865304 22771984 29782052 41274221 41989448 43730608 59564104 79261727 82548442 83978896 112436671 119128208 158523454 165096884 215919877 224873342 317046908 330193768 431839754 449746684 634093816 660387536 863679508 899493368 1196952409 1268187632 1727359016 1798986736 2393904818 3260663459 3454718032 4787809636 6261676433 6521326918 8882497009 9575619272 12523352866 13042653836 17764994018 19151238544 25046705732 26085307672 35529988036 50093411464 52170615344 71059976072 94559240311 100186822928 142119952144 189118480622 257592413261 378236961244 515184826522 756473922488 1030369653044 1512947844976 2060739306088 4121478612176 7470179984569 14940359969138 29880719938276 59761439876552 119522879753104