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199492743156100 = 225214124192
BaseRepresentation
bin101101010111000000000110…
…000101110101000110000100
3222011100022122021101110221121
4231113000012011311012010
5202121442114221443400
61544141411230523324
760006606101300632
oct5527000605650604
9864308567343847
10199492743156100
11586234408236a9
121a45b044066544
13874111486a644
143739700b06352
15180e3e630a21a
hexb57006175184

199492743156100 has 27 divisors (see below), whose sum is σ = 432899559143877. Its totient is φ = 79797040765680.

The previous prime is 199492743156079. The next prime is 199492743156139. The reversal of 199492743156100 is 1651347294991.

The square root of 199492743156100 is 14124190.

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., 71817387536196 + 127675355619904 = 8474514^2 + 11299352^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 140535691 + ... + 141948109.

Almost surely, 2199492743156100 is an apocalyptic number.

199492743156100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199492743156100 is the 14124190-th square number.

It is an amenable number.

199492743156100 is an abundant number, since it is smaller than the sum of its proper divisors (233406815987777).

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

199492743156100 is an frugal number, since it uses more digits than its factorization.

199492743156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824852 (or 1412426 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 199492743156100 in words is "one hundred ninety-nine trillion, four hundred ninety-two billion, seven hundred forty-three million, one hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1412419 2824838 5649676 7062095 14124190 28248380 35310475 70620950 141241900 1994927431561 3989854863122 7979709726244 9974637157805 19949274315610 39898548631220 49873185789025 99746371578050 199492743156100