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202740371289 = 321500892
BaseRepresentation
bin1011110011010001000…
…1001000111101011001
3201101022022202222012100
42330310101020331121
511310203013340124
6233045421434013
720435044502451
oct2746421107531
9641268688170
10202740371289
1178a88721765
123336140b909
131616cc9c451
149b54022d61
155418d311c9
hex2f34448f59

202740371289 has 9 divisors (see below), whose sum is σ = 292849154143. Its totient is φ = 135159346992.

The previous prime is 202740371279. The next prime is 202740371291. The reversal of 202740371289 is 982173047202.

The square root of 202740371289 is 450267.

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

202740371289 is a `hidden beast` number, since 2 + 0 + 274 + 0 + 371 + 2 + 8 + 9 = 666.

202740371289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14141252889 + 188599118400 = 118917^2 + 434280^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 202740371289 - 217 = 202740240217 is a prime.

It is a super-2 number, since 2×2027403712892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202740371209) 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, 1275757 + ... + 1425845.

Almost surely, 2202740371289 is an apocalyptic number.

202740371289 is the 450267-th square number.

202740371289 is the 225134-th centered octagonal number.

It is an amenable number.

202740371289 is a deficient number, since it is larger than the sum of its proper divisors (90108782854).

202740371289 is an frugal number, since it uses more digits than its factorization.

202740371289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300184 (or 150092 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

It can be divided in two parts, 2027 and 40371289, that added together give a square (40373316 = 63542).

The spelling of 202740371289 in words is "two hundred two billion, seven hundred forty million, three hundred seventy-one thousand, two hundred eighty-nine".

Divisors: 1 3 9 150089 450267 1350801 22526707921 67580123763 202740371289