Search a number
-
+
198052039712 = 2515125212
BaseRepresentation
bin1011100001110011010…
…0100100110000100000
3200221012120212001100002
42320130310210300200
511221102310232322
6230552302315132
720210625363332
oct2703464446040
9627176761302
10198052039712
1176aa223886a
1232473288aa8
13158a3895757
14982b4d1452
155242440c92
hex2e1cd24c20

198052039712 has 54 divisors (see below), whose sum is σ = 393269104557. Its totient is φ = 98181408000.

The previous prime is 198052039667. The next prime is 198052039741. The reversal of 198052039712 is 217930250891.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 188595644176 + 9456395536 = 434276^2 + 97244^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=314684.

It is a super-2 number, since 2×1980520397122 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380138012 + ... + 380138532.

Almost surely, 2198052039712 is an apocalyptic number.

It is an amenable number.

198052039712 is a deficient number, since it is larger than the sum of its proper divisors (195217064845).

198052039712 is an frugal number, since it uses more digits than its factorization.

198052039712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 198052039712 in words is "one hundred ninety-eight billion, fifty-two million, thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 151 302 521 604 1042 1208 2084 2416 4168 4832 8336 16672 22801 45602 78671 91204 157342 182408 271441 314684 364816 542882 629368 729632 1085764 1258736 2171528 2517472 4343056 8686112 11879321 23758642 40987591 47517284 81975182 95034568 163950364 190069136 327900728 380138272 655801456 1311602912 6189126241 12378252482 24756504964 49513009928 99026019856 198052039712