Search a number
-
+
136821606336 = 2632331971569
BaseRepresentation
bin111111101101100110…
…1000000011111000000
3111002011022222202022100
41333123031000133000
54220202312400321
6142504401510400
712612365315322
oct1773315003700
9432138882270
10136821606336
1153031258a18
1222625342400
13cb96249a9c
14689d469612
15385bb90326
hex1fdb3407c0

136821606336 has 84 divisors (see below), whose sum is σ = 392298072400. Its totient is φ = 45592823808.

The previous prime is 136821606323. The next prime is 136821606349. The reversal of 136821606336 is 633606128631.

136821606336 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 1 + 6 + 0 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (136821606323) and next prime (136821606349).

It is a junction number, because it is equal to n+sod(n) for n = 136821606291 and 136821606300.

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 11 ways as a sum of consecutive naturals, for example, 1875960 + ... + 1947528.

Almost surely, 2136821606336 is an apocalyptic number.

136821606336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136821606336 is an abundant number, since it is smaller than the sum of its proper divisors (255476466064).

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

136821606336 is a wasteful number, since it uses less digits than its factorization.

136821606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74906 (or 74893 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 136821606336 in words is "one hundred thirty-six billion, eight hundred twenty-one million, six hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3319 6638 9957 13276 19914 26552 29871 39828 53104 59742 71569 79656 106208 119484 143138 159312 212416 214707 238968 286276 318624 429414 477936 572552 637248 644121 858828 955872 1145104 1288242 1717656 1911744 2290208 2576484 3435312 4580416 5152968 6870624 10305936 13741248 20611872 41223744 237537511 475075022 712612533 950150044 1425225066 1900300088 2137837599 2850450132 3800600176 4275675198 5700900264 7601200352 8551350396 11401800528 15202400704 17102700792 22803601056 34205401584 45607202112 68410803168 136821606336