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3848426816864 = 257314197113921
BaseRepresentation
bin111000000000001000000…
…111010000010101100000
3111121220110111000012111112
4320000020013100111200
51001023034231114424
612103535354402452
7545016414132110
oct70001007202540
914556414005445
103848426816864
111254121678773
12521a26430428
1321bb9c6426a6
14d439ca79040
156a18e22760e
hex380081d0560

3848426816864 has 192 divisors, whose sum is σ = 9166376669184. Its totient is φ = 1555476480000.

The previous prime is 3848426816791. The next prime is 3848426816893. The reversal of 3848426816864 is 4686186248483.

It is a junction number, because it is equal to n+sod(n) for n = 3848426816794 and 3848426816803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276440624 + ... + 276454544.

It is an arithmetic number, because the mean of its divisors is an integer number (47741545152).

Almost surely, 23848426816864 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 3848426816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583188334592).

3848426816864 is an abundant number, since it is smaller than the sum of its proper divisors (5317949852320).

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

3848426816864 is a wasteful number, since it uses less digits than its factorization.

3848426816864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14981 (or 14973 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 68.

The spelling of 3848426816864 in words is "three trillion, eight hundred forty-eight billion, four hundred twenty-six million, eight hundred sixteen thousand, eight hundred sixty-four".