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109848510186496 = 210107230612
BaseRepresentation
bin11000111110100000011001…
…011011011100010000000000
3112101221102012112201220022121
4120332200121123130100000
5103344224222101431441
61025343413043214024
732065202325404644
oct3076403133342000
9471842175656277
10109848510186496
113200154528a114
12103a1463977314
13493a893188463
141d1a9a677cc24
15ca7629e4bdd1
hex63e8196dc400

109848510186496 has 99 divisors (see below), whose sum is σ = 221733605159157. Its totient is φ = 54393168752640.

The previous prime is 109848510186433. The next prime is 109848510186497. The reversal of 109848510186496 is 694681015848901.

The square root of 109848510186496 is 10480864.

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., 104741633360896 + 5106876825600 = 10234336^2 + 2259840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109848510186497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35886476806 + ... + 35886479866.

Almost surely, 2109848510186496 is an apocalyptic number.

109848510186496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109848510186496 is the 10480864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109848510186496

109848510186496 is an abundant number, since it is smaller than the sum of its proper divisors (111885094972661).

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

109848510186496 is an frugal number, since it uses more digits than its factorization.

109848510186496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 70.

The spelling of 109848510186496 in words is "one hundred nine trillion, eight hundred forty-eight billion, five hundred ten million, one hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1024 1712 3061 3424 6122 6848 11449 12244 13696 22898 24488 27392 45796 48976 54784 91592 97952 109568 183184 195904 327527 366368 391808 655054 732736 783616 1310108 1465472 1567232 2620216 2930944 3134464 5240432 5861888 9369721 10480864 11723776 18739442 20961728 35045389 37478884 41923456 70090778 74957768 83846912 140181556 149915536 167693824 280363112 299831072 335387648 560726224 599662144 1002560147 1121452448 1199324288 2005120294 2242904896 2398648576 4010240588 4485809792 4797297152 8020481176 8971619584 9594594304 16040962352 17943239168 32081924704 35886478336 64163849408 107273935729 128327698816 214547871458 256655397632 429095742916 513310795264 858191485832 1026621590528 1716382971664 3432765943328 6865531886656 13731063773312 27462127546624 54924255093248 109848510186496