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BaseRepresentation
bin100011101101011011…
…111110101010100000
310122222012122002110200
4203231123332222200
51112011334214440
625340433225200
72525116305165
oct435533765240
9118865562420
1038343273120
1115296861679
127521102200
133800a775b9
141bda54c06c
15ee632ec30
hex8ed6feaa0

38343273120 has 144 divisors (see below), whose sum is σ = 131053077792. Its totient is φ = 10208724480.

The previous prime is 38343273109. The next prime is 38343273121. The reversal of 38343273120 is 2137234383.

38343273120 is a `hidden beast` number, since 38 + 3 + 432 + 73 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38343273121) 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, 905215 + ... + 946625.

It is an arithmetic number, because the mean of its divisors is an integer number (910090818).

Almost surely, 238343273120 is an apocalyptic number.

38343273120 is a gapful number since it is divisible by the number (30) 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 38343273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65526538896).

38343273120 is an abundant number, since it is smaller than the sum of its proper divisors (92709804672).

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

38343273120 is a wasteful number, since it uses less digits than its factorization.

38343273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42075 (or 42064 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 38343273120 in words is "thirty-eight billion, three hundred forty-three million, two hundred seventy-three thousand, one hundred twenty".