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202698948841 = 4127921392
BaseRepresentation
bin1011110011000111001…
…1001000000011101001
3201101012102211111021121
42330301303020003221
511310111412330331
6233041341535241
720434032431344
oct2746163100351
9641172744247
10202698948841
1178a672aa434
123334b574521
131616452831c
149b4c71d45b
15541539cc11
hex2f31cc80e9

202698948841 has 27 divisors (see below), whose sum is σ = 211951366263. Its totient is φ = 193847153760.

The previous prime is 202698948833. The next prime is 202698948847. The reversal of 202698948841 is 148849896202.

The square root of 202698948841 is 450221.

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., 9767171241 + 192931777600 = 98829^2 + 439240^2 .

It is not a de Polignac number, because 202698948841 - 23 = 202698948833 is a prime.

It is a super-2 number, since 2×2026989488412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202698948841.

It is not an unprimeable number, because it can be changed into a prime (202698948847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1458265750 + ... + 1458265888.

Almost surely, 2202698948841 is an apocalyptic number.

202698948841 is the 450221-st square number.

202698948841 is the 225111-st centered octagonal number.

It is an amenable number.

202698948841 is a deficient number, since it is larger than the sum of its proper divisors (9252417422).

202698948841 is an frugal number, since it uses more digits than its factorization.

202698948841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 202698948841 in words is "two hundred two billion, six hundred ninety-eight million, nine hundred forty-eight thousand, eight hundred forty-one".

Divisors: 1 41 79 139 1681 3239 5699 6241 10981 19321 132799 233659 255881 450221 792161 867499 1526359 10491121 18459061 32478601 35567459 62580719 120582361 1458265819 2565809479 4943876801 202698948841