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233950400641 = 17379143325339
BaseRepresentation
bin1101100111100010000…
…1111101000010000001
3211100212101221201210101
43121320201331002001
512313112300310031
6255250401002401
722621336410616
oct3317041750201
9740771851711
10233950400641
11902439a1751
1239411623401
13190a4c5aa39
14b47504c50d
156143cc7361
hex367887d081

233950400641 has 16 divisors (see below), whose sum is σ = 248548910400. Its totient is φ = 219445728768.

The previous prime is 233950400603. The next prime is 233950400729. The reversal of 233950400641 is 146004059332.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233950400641 is a prime.

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 233950400641.

It is not an unprimeable number, because it can be changed into a prime (233950400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9220150 + ... + 9245488.

It is an arithmetic number, because the mean of its divisors is an integer number (15534306900).

Almost surely, 2233950400641 is an apocalyptic number.

It is an amenable number.

233950400641 is a deficient number, since it is larger than the sum of its proper divisors (14598509759).

233950400641 is a wasteful number, since it uses less digits than its factorization.

233950400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27168.

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 233950400641 its reverse (146004059332), we get a palindrome (379954459973).

The spelling of 233950400641 in words is "two hundred thirty-three billion, nine hundred fifty million, four hundred thousand, six hundred forty-one".

Divisors: 1 17 379 1433 6443 24361 25339 430763 543107 9232819 9603481 36310787 163259177 617283379 13761788273 233950400641