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3842438369172 = 2231331887895771
BaseRepresentation
bin110111111010100011001…
…011001000111110010100
3111121100000010200112121120
4313322203023020332110
51000423303210303142
612101105233243540
7544415130146664
oct67724313107624
914540003615546
103842438369172
111251629318347
12520834a035b0
1321b456a8cc10
14d3d915d61a4
1569e3d6227ec
hex37ea32c8f94

3842438369172 has 96 divisors (see below), whose sum is σ = 9978068803584. Its totient is φ = 1142859196800.

The previous prime is 3842438369153. The next prime is 3842438369179. The reversal of 3842438369172 is 2719638342483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842438369179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841647 + ... + 4737417.

It is an arithmetic number, because the mean of its divisors is an integer number (103938216704).

Almost surely, 23842438369172 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 3842438369172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989034401792).

3842438369172 is an abundant number, since it is smaller than the sum of its proper divisors (6135630434412).

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

3842438369172 is a wasteful number, since it uses less digits than its factorization.

3842438369172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896709 (or 896707 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 3842438369172 in words is "three trillion, eight hundred forty-two billion, four hundred thirty-eight million, three hundred sixty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 887 1209 1612 1774 2418 2661 3548 4836 5322 10644 11531 23062 27497 34593 46124 54994 69186 82491 109988 138372 164982 329964 357461 714922 895771 1072383 1429844 1791542 2144766 2687313 3583084 4289532 5374626 10749252 11645023 23290046 27768901 34935069 46580092 55537802 69870138 83306703 111075604 139740276 166613406 333226812 360995713 721991426 794548877 1082987139 1443982852 1589097754 2165974278 2383646631 3178195508 4331948556 4767293262 9534586524 10329135401 20658270802 24631015187 30987406203 41316541604 49262030374 61974812406 73893045561 98524060748 123949624812 147786091122 295572182244 320203197431 640406394862 960609592293 1280812789724 1921219184586 3842438369172