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783841081104 = 2434245932
BaseRepresentation
bin10110110100000001001…
…00011011011100010000
32202221020020021121110000
423122000210123130100
5100320301304043404
61400031442410000
7110426212154214
oct13320044333420
92687206247400
10783841081104
11282474945874
12107ab6960900
1358bba2c0ac3
1429d1c266944
15155c98a9339
hexb68091b710

783841081104 has 75 divisors (see below), whose sum is σ = 2268755751493. Its totient is φ = 261269736192.

The previous prime is 783841081099. The next prime is 783841081139. The reversal of 783841081104 is 401180148387.

The square root of 783841081104 is 885348.

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., 76142883600 + 707698197504 = 275940^2 + 841248^2 .

It is a super-2 number, since 2×7838410811042 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 783841081104.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31860232 + ... + 31884824.

Almost surely, 2783841081104 is an apocalyptic number.

783841081104 is the 885348-th square number.

It is an amenable number.

783841081104 is an abundant number, since it is smaller than the sum of its proper divisors (1484914670389).

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

783841081104 is an frugal number, since it uses more digits than its factorization.

783841081104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49206 (or 24598 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 783841081104 in words is "seven hundred eighty-three billion, eight hundred forty-one million, eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 24593 49186 73779 98372 147558 196744 221337 295116 393488 442674 590232 664011 885348 1180464 1328022 1770696 1992033 2656044 3541392 3984066 5312088 7968132 10624176 15936264 31872528 604815649 1209631298 1814446947 2419262596 3628893894 4838525192 5443340841 7257787788 9677050384 10886681682 14515575576 16330022523 21773363364 29031151152 32660045046 43546726728 48990067569 65320090092 87093453456 97980135138 130640180184 195960270276 261280360368 391920540552 783841081104