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196918072562500 = 2256561312
BaseRepresentation
bin101100110001100010001111…
…110000111101001101000100
3221211020011222001102201221021
4230301202033300331031010
5201302301203034000000
61534450525204400524
756322601260322462
oct5461421760751504
9854204861381837
10196918072562500
1157820538355243
121a1040600a6144
1385b53aa207b13
14368ac57dc5832
1517b745704e11a
hexb3188fc3d344

196918072562500 has 63 divisors (see below), whose sum is σ = 430760444223081. Its totient is φ = 78765825750000.

The previous prime is 196918072562473. The next prime is 196918072562537. The reversal of 196918072562500 is 5265270819691.

The square root of 196918072562500 is 14032750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 172519135699716 + 24398936862784 = 13134654^2 + 4939528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3508159435 + ... + 3508215565.

Almost surely, 2196918072562500 is an apocalyptic number.

196918072562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196918072562500 is the 14032750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196918072562500

196918072562500 is an abundant number, since it is smaller than the sum of its proper divisors (233842371660581).

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

196918072562500 is an frugal number, since it uses more digits than its factorization.

196918072562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112296 (or 56138 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 196918072562500 in words is "one hundred ninety-six trillion, nine hundred eighteen billion, seventy-two million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 31250 56131 62500 112262 224524 280655 561310 1122620 1403275 2806550 5613100 7016375 14032750 28065500 35081875 70163750 140327500 175409375 350818750 701637500 877046875 1754093750 3150689161 3508187500 6301378322 12602756644 15753445805 31506891610 63013783220 78767229025 157534458050 315068916100 393836145125 787672290250 1575344580500 1969180725625 3938361451250 7876722902500 9845903628125 19691807256250 39383614512500 49229518140625 98459036281250 196918072562500