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202385038834461 = 3724105133538013
BaseRepresentation
bin101110000001000101110000…
…010110001111101100011101
3222112120211011022222022201010
4232001011300112033230131
5203011334024420200321
61554234223041005433
760425556634026300
oct5601056026175435
9875524138868633
10202385038834461
115953901628940a
121a8476b0023879
1388c0a9a6916c2
1437d96b9680b37
15185e775272676
hexb8117058fb1d

202385038834461 has 24 divisors (see below), whose sum is σ = 313910981565984. Its totient is φ = 115645772978400.

The previous prime is 202385038834379. The next prime is 202385038834471. The reversal of 202385038834461 is 164438830583202.

It is not a de Polignac number, because 202385038834461 - 223 = 202385030445853 is a prime.

It is a super-2 number, since 2×2023850388344612 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202385038834471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10734510 + ... + 22803503.

It is an arithmetic number, because the mean of its divisors is an integer number (13079624231916).

Almost surely, 2202385038834461 is an apocalyptic number.

202385038834461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202385038834461 is a deficient number, since it is larger than the sum of its proper divisors (111525942731523).

202385038834461 is a wasteful number, since it uses less digits than its factorization.

202385038834461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33579081 (or 33579074 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 202385038834461 in words is "two hundred two trillion, three hundred eighty-five billion, thirty-eight million, eight hundred thirty-four thousand, four hundred sixty-one".

Divisors: 1 3 7 21 49 147 41051 123153 287357 862071 2011499 6034497 33538013 100614039 234766091 704298273 1643362637 4930087911 1376768971663 4130306914989 9637382801641 28912148404923 67461679611487 202385038834461