Search a number
-
+
6836161704120 = 23325741599110459
BaseRepresentation
bin110001101111010101011…
…1111010111000010111000
3220012112022212022012021200
41203132222333113002320
51344000424344012440
622312253410134200
71303616313505050
oct143365277270270
926175285265250
106836161704120
1121a6222077731
12924a88881360
133a7855106618
14198c2ca62560
15bcc56ccdc30
hex637aafd70b8

6836161704120 has 384 divisors, whose sum is σ = 26054421120000. Its totient is φ = 1521881487360.

The previous prime is 6836161704107. The next prime is 6836161704133. The reversal of 6836161704120 is 214071616386.

6836161704120 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 1 + 617 + 0 + 4 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6836161704107) and next prime (6836161704133).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61833451 + ... + 61943909.

It is an arithmetic number, because the mean of its divisors is an integer number (67850055000).

Almost surely, 26836161704120 is an apocalyptic number.

6836161704120 is a gapful number since it is divisible by the number (60) 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 6836161704120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027210560000).

6836161704120 is an abundant number, since it is smaller than the sum of its proper divisors (19218259415880).

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

6836161704120 is a wasteful number, since it uses less digits than its factorization.

6836161704120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111123 (or 111116 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6836161704120 in words is "six trillion, eight hundred thirty-six billion, one hundred sixty-one million, seven hundred four thousand, one hundred twenty".