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4681718383104 = 29347151106801
BaseRepresentation
bin100010000100000110000…
…1010010100001000000000
3121120120100000002201220000
41010020030022110020000
51103201124401224404
613542430212520000
7662146226441040
oct104101412241000
917516300081800
104681718383104
111545561a7a974
12637422020000
1327c63a8a2789
1412284c66b720
1581bb00cc339
hex4420c294200

4681718383104 has 400 divisors, whose sum is σ = 16075850710656. Its totient is φ = 1328762880000.

The previous prime is 4681718383049. The next prime is 4681718383123. The reversal of 4681718383104 is 4013838171864.

4681718383104 is a `hidden beast` number, since 468 + 1 + 71 + 8 + 3 + 8 + 3 + 104 = 666.

It is a super-2 number, since 2×46817183831042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43782504 + ... + 43889304.

Almost surely, 24681718383104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681718383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037925355328).

4681718383104 is an abundant number, since it is smaller than the sum of its proper divisors (11394132327552).

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

4681718383104 is a wasteful number, since it uses less digits than its factorization.

4681718383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106989 (or 106964 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4681718383104 in words is "four trillion, six hundred eighty-one billion, seven hundred eighteen million, three hundred eighty-three thousand, one hundred four".