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202834037641 = 97246432
BaseRepresentation
bin1011110011100111011…
…0011100101110001001
3201101112212000201021111
42330321312130232021
511310401003201031
6233103005210321
720440262605264
oct2747166345611
9641485021244
10202834037641
1179026587674
12333888609a1
1316186506121
149b62645cdb
1554221841b1
hex2f39d9cb89

202834037641 has 9 divisors (see below), whose sum is σ = 204990818151. Its totient is φ = 200699729472.

The previous prime is 202834037617. The next prime is 202834037671. The reversal of 202834037641 is 146730438202.

It is a happy number.

The square root of 202834037641 is 450371.

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., 91080222025 + 111753815616 = 301795^2 + 334296^2 .

It is not a de Polignac number, because 202834037641 - 27 = 202834037513 is a prime.

It is a super-2 number, since 2×2028340376412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202834037594 and 202834037603.

It is not an unprimeable number, because it can be changed into a prime (202834037671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43683666 + ... + 43688308.

Almost surely, 2202834037641 is an apocalyptic number.

202834037641 is the 450371-st square number.

202834037641 is the 225186-th centered octagonal number.

It is an amenable number.

202834037641 is a deficient number, since it is larger than the sum of its proper divisors (2156780510).

202834037641 is an frugal number, since it uses more digits than its factorization.

202834037641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 202834037641 in words is "two hundred two billion, eight hundred thirty-four million, thirty-seven thousand, six hundred forty-one".

Divisors: 1 97 4643 9409 450371 21557449 43685987 2091072553 202834037641