Search a number
-
+
36335984340 = 22355689106451
BaseRepresentation
bin100001110101110010…
…110001111011010100
310110210022120020220210
4201311302301323110
51043404002444330
624405330125420
72424303525255
oct416562617324
9113708506823
1036335984340
1114456796927
127060a20870
133570c4a766
141a89b16b2c
15e29ecc8b0
hex875cb1ed4

36335984340 has 48 divisors (see below), whose sum is σ = 101759595840. Its totient is φ = 9687801600.

The previous prime is 36335984339. The next prime is 36335984371. The reversal of 36335984340 is 4348953363.

It is a super-3 number, since 3×363359843403 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36335984340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288115 + ... + 394565.

It is an arithmetic number, because the mean of its divisors is an integer number (2119991580).

Almost surely, 236335984340 is an apocalyptic number.

36335984340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36335984340 is an abundant number, since it is smaller than the sum of its proper divisors (65423611500).

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

36335984340 is a wasteful number, since it uses less digits than its factorization.

36335984340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112152 (or 112150 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 36335984340 in words is "thirty-six billion, three hundred thirty-five million, nine hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5689 11378 17067 22756 28445 34134 56890 68268 85335 106451 113780 170670 212902 319353 341340 425804 532255 638706 1064510 1277412 1596765 2129020 3193530 6387060 605599739 1211199478 1816799217 2422398956 3027998695 3633598434 6055997390 7267196868 9083996085 12111994780 18167992170 36335984340