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3195835536100 = 225253233732
BaseRepresentation
bin101110100000010110101…
…001000101001011100100
3102022112000021101021102211
4232200112221011023210
5404330032344123400
610444051354413204
7446614532563654
oct56402651051344
912275007337384
103195835536100
111022389932579
1243745aa31204
131a249b13614c
14b0971c92364
15581e72a7dba
hex2e816a452e4

3195835536100 has 81 divisors (see below), whose sum is σ = 7070376479313. Its totient is φ = 1253842861440.

The previous prime is 3195835536041. The next prime is 3195835536149. The reversal of 3195835536100 is 16355385913.

The square root of 3195835536100 is 1787690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 865183396 + 3194970352704 = 29414^2 + 1787448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 947474014 + ... + 947477386.

Almost surely, 23195835536100 is an apocalyptic number.

3195835536100 is the 1787690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3195835536100

3195835536100 is an abundant number, since it is smaller than the sum of its proper divisors (3874540943213).

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

3195835536100 is an frugal number, since it uses more digits than its factorization.

3195835536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 49.

Multiplying 3195835536100 by its sum of digits (49), we get a square (156595941268900 = 125138302).

The spelling of 3195835536100 in words is "three trillion, one hundred ninety-five billion, eight hundred thirty-five million, five hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 2809 3373 5300 5618 6746 11236 13492 14045 16865 28090 33730 56180 67460 70225 84325 140450 168650 178769 280900 337300 357538 715076 893845 1787690 3575380 4469225 8938450 9474757 11377129 17876900 18949514 22754258 37899028 45508516 47373785 56885645 94747570 113771290 189495140 227542580 236868925 284428225 473737850 568856450 602987837 947475700 1137712900 1205975674 2411951348 3014939185 6029878370 12059756740 15074695925 30149391850 31958355361 60298783700 63916710722 127833421444 159791776805 319583553610 639167107220 798958884025 1597917768050 3195835536100