Search a number
-
+
136404216410 = 257111109159737
BaseRepresentation
bin111111100001001010…
…0110010101001011010
3111001002020121010222012
41333002110302221122
54213323434411120
6142355131425522
712566136465140
oct1770224625132
9431066533865
10136404216410
1152937695770
12225295b52a2
13cb2a92a0b7
14685dc59590
1538351e41c5
hex1fc2532a5a

136404216410 has 64 divisors (see below), whose sum is σ = 306390263040. Its totient is φ = 42476997120.

The previous prime is 136404216349. The next prime is 136404216413. The reversal of 136404216410 is 14612404631.

It is a super-2 number, since 2×1364042164102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136404216413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 774062 + ... + 933798.

It is an arithmetic number, because the mean of its divisors is an integer number (4787347860).

Almost surely, 2136404216410 is an apocalyptic number.

136404216410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136404216410 is an abundant number, since it is smaller than the sum of its proper divisors (169986046630).

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

136404216410 is a wasteful number, since it uses less digits than its factorization.

136404216410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160871.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 136404216410 in words is "one hundred thirty-six billion, four hundred four million, two hundred sixteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 1109 2218 5545 7763 11090 12199 15526 24398 38815 60995 77630 85393 121990 159737 170786 319474 426965 798685 853930 1118159 1597370 1757107 2236318 3514214 5590795 8785535 11181590 12299749 17571070 24599498 61498745 122997490 177148333 354296666 885741665 1240038331 1771483330 1948631663 2480076662 3897263326 6200191655 9743158315 12400383310 13640421641 19486316630 27280843282 68202108205 136404216410