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3803055082816 = 261122371300733
BaseRepresentation
bin110111010101110111101…
…111110100110101000000
3111110120100110002022012011
4313111313233310311000
5444302124100122231
612031033244542304
7541522151556103
oct67256757646500
914416313068164
103803055082816
1112369594a3400
12515083551994
1321781b708892
14d20d6cc273a
1568dd5d5a9b1
hex37577bf4d40

3803055082816 has 168 divisors, whose sum is σ = 8777718133632. Its totient is φ = 1630208025600.

The previous prime is 3803055082781. The next prime is 3803055082819. The reversal of 3803055082816 is 6182805503083.

It is a happy number.

It is a super-2 number, since 2×38030550828162 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3803055082816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803055082819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12495586 + ... + 12796318.

It is an arithmetic number, because the mean of its divisors is an integer number (52248322224).

Almost surely, 23803055082816 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 3803055082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388859066816).

3803055082816 is an abundant number, since it is smaller than the sum of its proper divisors (4974663050816).

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

3803055082816 is a wasteful number, since it uses less digits than its factorization.

3803055082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300861 (or 300840 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 3803055082816 in words is "three trillion, eight hundred three billion, fifty-five million, eighty-two thousand, eight hundred sixteen".