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199906457881 = 13216322112
BaseRepresentation
bin1011101000101101011…
…0100111100100011001
3201002222211021020211111
42322023112213210121
511233402023123011
6231500305100321
720304603566314
oct2721326474431
9632884236744
10199906457881
1177863a90669
12328b03276a1
1315b0ab29c00
1499658d197b
155300148121
hex2e8b5a7919

199906457881 has 27 divisors (see below), whose sum is σ = 218840053887. Its totient is φ = 182527778160.

The previous prime is 199906457837. The next prime is 199906457887. The reversal of 199906457881 is 188754609991.

The square root of 199906457881 is 447109.

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., 29571961225 + 170334496656 = 171965^2 + 412716^2 .

It is not a de Polignac number, because 199906457881 - 27 = 199906457753 is a prime.

It is a super-2 number, since 2×1999064578812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199906457887) 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, 947423866 + ... + 947424076.

It is an arithmetic number, because the mean of its divisors is an integer number (8105187181).

Almost surely, 2199906457881 is an apocalyptic number.

199906457881 is the 447109-th square number.

199906457881 is the 223555-th centered octagonal number.

It is an amenable number.

199906457881 is a deficient number, since it is larger than the sum of its proper divisors (18933596006).

199906457881 is an frugal number, since it uses more digits than its factorization.

199906457881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 67.

The spelling of 199906457881 in words is "one hundred ninety-nine billion, nine hundred six million, four hundred fifty-seven thousand, eight hundred eighty-one".

Divisors: 1 13 163 169 211 2119 2743 26569 27547 34393 35659 44521 345397 447109 578773 4490161 5606059 5812417 7256923 7524049 72878767 94339999 947423971 1182878449 1226419987 15377419837 199906457881