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38060703072 = 25327611731789
BaseRepresentation
bin100011011100100110…
…000011110101100000
310122020111221001020100
4203130212003311200
51110422014444242
625252420542400
72515115431620
oct433446036540
9118214831210
1038060703072
1115161302607
127462551a00
1337873701a2
141bb0bd4880
15ecb61554c
hex8dc983d60

38060703072 has 288 divisors, whose sum is σ = 126522527040. Its totient is φ = 10628444160.

The previous prime is 38060703059. The next prime is 38060703077. The reversal of 38060703072 is 27030706083.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38060703077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21273954 + ... + 21275742.

It is an arithmetic number, because the mean of its divisors is an integer number (439314330).

Almost surely, 238060703072 is an apocalyptic number.

38060703072 is a gapful number since it is divisible by the number (32) 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 38060703072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63261263520).

38060703072 is an abundant number, since it is smaller than the sum of its proper divisors (88461823968).

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

38060703072 is a wasteful number, since it uses less digits than its factorization.

38060703072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 38060703072 in words is "thirty-eight billion, sixty million, seven hundred three thousand, seventy-two".