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38285243040 = 253511173113759
BaseRepresentation
bin100011101001111110…
…100111001010100000
310122211011102212011110
4203221332213022200
51111402010234130
625331001343320
72523513124242
oct435176471240
9118734385143
1038285243040
1115267026830
127505797b40
1337c1a3a185
141bd2964092
15ee11baab0
hex8e9fa72a0

38285243040 has 384 divisors, whose sum is σ = 143804989440. Its totient is φ = 8452915200.

The previous prime is 38285243021. The next prime is 38285243047. The reversal of 38285243040 is 4034258283.

38285243040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38285243040.

It is not an unprimeable number, because it can be changed into a prime (38285243047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775681 + ... + 2789439.

It is an arithmetic number, because the mean of its divisors is an integer number (374492160).

Almost surely, 238285243040 is an apocalyptic number.

38285243040 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 38285243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71902494720).

38285243040 is an abundant number, since it is smaller than the sum of its proper divisors (105519746400).

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

38285243040 is a wasteful number, since it uses less digits than its factorization.

38285243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 38285243040 in words is "thirty-eight billion, two hundred eighty-five million, two hundred forty-three thousand, forty".