Search a number
-
+
1693198368 = 2532172391447
BaseRepresentation
bin110010011101100…
…0010100000100000
311101000001101111200
41210323002200200
511431424321433
6440003041200
756646643251
oct14473024040
94330041450
101693198368
11799847aa4
123b3070200
1320ca37734
14120c34b28
159d9ad613
hex64ec2820

1693198368 has 144 divisors (see below), whose sum is σ = 5123139840. Its totient is φ = 528611328.

The previous prime is 1693198349. The next prime is 1693198369. The reversal of 1693198368 is 8638913961.

1693198368 is a `hidden beast` number, since 1 + 6 + 93 + 198 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1693198369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169421 + ... + 1170867.

It is an arithmetic number, because the mean of its divisors is an integer number (35577360).

Almost surely, 21693198368 is an apocalyptic number.

1693198368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1693198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561569920).

1693198368 is an abundant number, since it is smaller than the sum of its proper divisors (3429941472).

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

1693198368 is a wasteful number, since it uses less digits than its factorization.

1693198368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1708 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1693198368 is about 41148.4916856013. The cubic root of 1693198368 is about 1191.8893715927.

The spelling of 1693198368 in words is "one billion, six hundred ninety-three million, one hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 239 272 288 306 408 478 544 612 717 816 956 1224 1434 1447 1632 1912 2151 2448 2868 2894 3824 4063 4302 4341 4896 5736 5788 7648 8126 8604 8682 11472 11576 12189 13023 16252 17208 17364 22944 23152 24378 24599 26046 32504 34416 34728 36567 46304 48756 49198 52092 65008 68832 69456 73134 73797 97512 98396 104184 130016 138912 146268 147594 195024 196792 208368 221391 292536 295188 345833 390048 393584 416736 442782 585072 590376 691666 787168 885564 1037499 1170144 1180752 1383332 1771128 2074998 2361504 2766664 3112497 3542256 4149996 5533328 5879161 6224994 7084512 8299992 11066656 11758322 12449988 16599984 17637483 23516644 24899976 33199968 35274966 47033288 49799952 52912449 70549932 94066576 99599904 105824898 141099864 188133152 211649796 282199728 423299592 564399456 846599184 1693198368