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3681381912858 = 236131982312421
BaseRepresentation
bin110101100100100011011…
…101100001000100011010
3111000221021211112212000000
4311210203131201010122
5440303432232202413
611455111542353430
7526654034645136
oct65444335410432
914027254485000
103681381912858
11119a2a11309a1
124b558742b876
132091ca9aa120
14ca27367a3c6
1565b64051073
hex3592376111a

3681381912858 has 224 divisors, whose sum is σ = 9397626591360. Its totient is φ = 1071725178240.

The previous prime is 3681381912853. The next prime is 3681381912881. The reversal of 3681381912858 is 8582191831863.

3681381912858 is a `hidden beast` number, since 3 + 6 + 81 + 381 + 9 + 128 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3681381912795 and 3681381912804.

It is not an unprimeable number, because it can be changed into a prime (3681381912853) 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 111 ways as a sum of consecutive naturals, for example, 296377488 + ... + 296389908.

It is an arithmetic number, because the mean of its divisors is an integer number (41953690140).

Almost surely, 23681381912858 is an apocalyptic number.

3681381912858 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681381912858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698813295680).

3681381912858 is an abundant number, since it is smaller than the sum of its proper divisors (5716244678502).

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

3681381912858 is a wasteful number, since it uses less digits than its factorization.

3681381912858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13281 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 3681381912858 in words is "three trillion, six hundred eighty-one billion, three hundred eighty-one million, nine hundred twelve thousand, eight hundred fifty-eight".