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3848490089136 = 24337211212711831
BaseRepresentation
bin111000000000001011111…
…000100111101010110000
3111121220121220001202202000
4320000023320213222300
51001023201430323021
612103545534454000
7545021113005300
oct70001370475260
914556556052660
103848490089136
111254154364100
12521a43664300
1321bbac796bc4
14d43a7229600
156a194a74b26
hex3800be27ab0

3848490089136 has 720 divisors, whose sum is σ = 14236928778240. Its totient is φ = 991653062400.

The previous prime is 3848490089131. The next prime is 3848490089159. The reversal of 3848490089136 is 6319800948483.

3848490089136 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 490 + 0 + 8 + 9 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3848490089131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 325282741 + ... + 325294571.

It is an arithmetic number, because the mean of its divisors is an integer number (19773512192).

Almost surely, 23848490089136 is an apocalyptic number.

3848490089136 is a gapful number since it is divisible by the number (36) 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 3848490089136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118464389120).

3848490089136 is an abundant number, since it is smaller than the sum of its proper divisors (10388438689104).

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

3848490089136 is a wasteful number, since it uses less digits than its factorization.

3848490089136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3848490089136 in words is "three trillion, eight hundred forty-eight billion, four hundred ninety million, eighty-nine thousand, one hundred thirty-six".