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3803702243328 = 212331317198191
BaseRepresentation
bin110111010110011110010…
…100100011000000000000
3111110122000112211110112000
4313112132110203000000
5444304440233241303
612031221403504000
7541544200415331
oct67263624430000
914418015743460
103803702243328
1112371608326a9
12515224228000
132178c28072b0
14d2158c24288
1568e22a91da3
hex3759e523000

3803702243328 has 832 divisors, whose sum is σ = 13527495475200. Its totient is φ = 1043422248960.

The previous prime is 3803702243323. The next prime is 3803702243329. The reversal of 3803702243328 is 8233422073083.

3803702243328 is a `hidden beast` number, since 3 + 8 + 0 + 370 + 2 + 243 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is not an unprimeable number, because it can be changed into a prime (3803702243323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464371713 + ... + 464379903.

Almost surely, 23803702243328 is an apocalyptic number.

3803702243328 is a gapful number since it is divisible by the number (38) 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 3803702243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763747737600).

3803702243328 is an abundant number, since it is smaller than the sum of its proper divisors (9723793231872).

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

3803702243328 is a wasteful number, since it uses less digits than its factorization.

3803702243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3803702243328 in words is "three trillion, eight hundred three billion, seven hundred two million, two hundred forty-three thousand, three hundred twenty-eight".