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38224042032 = 2431190779817
BaseRepresentation
bin100011100110010101…
…001001100000110000
310122122220021112011110
4203212111021200300
51111240323321112
625320533513320
72522140665531
oct434625114060
9118586245143
1038224042032
1115235525590
1274a91a2840
1337b215c667
141bc8792688
15edab2c13c
hex8e6549830

38224042032 has 80 divisors (see below), whose sum is σ = 107842419072. Its totient is φ = 11570127360.

The previous prime is 38224042013. The next prime is 38224042039. The reversal of 38224042032 is 23024042283.

It is a happy number.

It is a super-2 number, since 2×382240420322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38224042039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438988 + ... + 518804.

Almost surely, 238224042032 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 38224042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53921209536).

38224042032 is an abundant number, since it is smaller than the sum of its proper divisors (69618377040).

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

38224042032 is a wasteful number, since it uses less digits than its factorization.

38224042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80746 (or 80740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 38224042032 in words is "thirty-eight billion, two hundred twenty-four million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 907 1814 2721 3628 5442 7256 9977 10884 14512 19954 21768 29931 39908 43536 59862 79816 79817 119724 159632 159634 239448 239451 319268 478896 478902 638536 877987 957804 1277072 1755974 1915608 2633961 3511948 3831216 5267922 7023896 10535844 14047792 21071688 42143376 72394019 144788038 217182057 289576076 434364114 579152152 796334209 868728228 1158304304 1592668418 1737456456 2389002627 3185336836 3474912912 4778005254 6370673672 9556010508 12741347344 19112021016 38224042032