Search a number
-
+
198665344512 = 2932172536067
BaseRepresentation
bin1011100100000101100…
…0001001011000000000
3200222210022220011100200
42321001120021120000
511223331312011022
6231133211445200
720232053365065
oct2710130113000
9628708804320
10198665344512
1177287453838
1232604756800
131597096c1bb
149888b3cc6c
15527b1dabac
hex2e41609600

198665344512 has 120 divisors (see below), whose sum is σ = 607089029976. Its totient is φ = 62326358016.

The previous prime is 198665344499. The next prime is 198665344517. The reversal of 198665344512 is 215443566891.

198665344512 is a `hidden beast` number, since 1 + 9 + 8 + 66 + 534 + 45 + 1 + 2 = 666.

It is a super-2 number, since 2×1986653445122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198665344517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189698 + ... + 1346369.

Almost surely, 2198665344512 is an apocalyptic number.

198665344512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198665344512 is an abundant number, since it is smaller than the sum of its proper divisors (408423685464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198665344512 is a wasteful number, since it uses less digits than its factorization.

198665344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536108 (or 2536089 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 198665344512 in words is "one hundred ninety-eight billion, six hundred sixty-five million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 39168 78336 2536067 5072134 7608201 10144268 15216402 20288536 22824603 30432804 40577072 43113139 45649206 60865608 81154144 86226278 91298412 121731216 129339417 162308288 172452556 182596824 243462432 258678834 324616576 344905112 365193648 388018251 486924864 517357668 649233152 689810224 730387296 776036502 973849728 1034715336 1298466304 1379620448 1460774592 1552073004 1947699456 2069430672 2759240896 2921549184 3104146008 3895398912 4138861344 5518481792 5843098368 6208292016 8277722688 11036963584 11686196736 12416584032 16555445376 22073927168 24833168064 33110890752 49666336128 66221781504 99332672256 198665344512