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38330234676 = 223247791392063
BaseRepresentation
bin100011101100101010…
…001111011100110100
310122221022002200002100
4203230222033130310
51112000020002201
625335245542100
72524600422216
oct435452173464
9118838080070
1038330234676
111528a4666a8
127518874930
1337cb160a46
141bd89165b6
15ee5106886
hex8eca8f734

38330234676 has 144 divisors (see below), whose sum is σ = 100974182400. Its totient is φ = 12251843136.

The previous prime is 38330234647. The next prime is 38330234707. The reversal of 38330234676 is 67643203383.

38330234676 is a `hidden beast` number, since 383 + 30 + 234 + 6 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578821 + ... + 18580883.

It is an arithmetic number, because the mean of its divisors is an integer number (701209600).

Almost surely, 238330234676 is an apocalyptic number.

38330234676 is a gapful number since it is divisible by the number (36) 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 38330234676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50487091200).

38330234676 is an abundant number, since it is smaller than the sum of its proper divisors (62643947724).

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

38330234676 is a wasteful number, since it uses less digits than its factorization.

38330234676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 38330234676 in words is "thirty-eight billion, three hundred thirty million, two hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 79 94 139 141 158 188 237 278 282 316 417 423 474 556 564 711 834 846 948 1251 1422 1668 1692 2063 2502 2844 3713 4126 5004 6189 6533 7426 8252 10981 11139 12378 13066 14852 18567 19599 21962 22278 24756 26132 32943 33417 37134 39198 43924 44556 58797 65886 66834 74268 78396 96961 98829 117594 131772 133668 162977 193922 197658 235188 286757 290883 325954 387844 395316 488931 516107 573514 581766 651908 860271 872649 977862 1032214 1147028 1163532 1466793 1548321 1720542 1745298 1955724 2064428 2580813 2933586 3096642 3441084 3490596 4644963 5161626 5867172 6193284 7659919 9289926 10323252 13477579 15319838 18579852 22653803 22979757 26955158 30639676 40432737 45307606 45959514 53910316 67961409 68939271 80865474 90615212 91919028 121298211 135922818 137878542 161730948 203884227 242596422 271845636 275757084 407768454 485192844 815536908 1064728741 2129457482 3194186223 4258914964 6388372446 9582558669 12776744892 19165117338 38330234676