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38734167152 = 242324797369
BaseRepresentation
bin100100000100101111…
…000111110001110000
310200222110011120021102
4210010233013301300
51113311421322102
625443315343532
72540603663012
oct440457076160
9120873146242
1038734167152
111547747809a
12760bbb1ba8
133863a4b245
141c364221b2
15101a7e5402
hex904bc7c70

38734167152 has 60 divisors (see below), whose sum is σ = 80122267680. Its totient is φ = 18130700544.

The previous prime is 38734167047. The next prime is 38734167187. The reversal of 38734167152 is 25176143783.

It is a happy number.

It is a super-2 number, since 2×387341671522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 38734167097 and 38734167106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349124 + ... + 446492.

It is an arithmetic number, because the mean of its divisors is an integer number (1335371128).

Almost surely, 238734167152 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 38734167152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40061133840).

38734167152 is an abundant number, since it is smaller than the sum of its proper divisors (41388100528).

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

38734167152 is a wasteful number, since it uses less digits than its factorization.

38734167152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97470 (or 97441 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 38734167152 in words is "thirty-eight billion, seven hundred thirty-four million, one hundred sixty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 529 752 1058 1081 2116 2162 4232 4324 8464 8648 17296 24863 49726 97369 99452 194738 198904 389476 397808 778952 1557904 2239487 4478974 4576343 8957948 9152686 17915896 18305372 35831792 36610744 51508201 73221488 103016402 105255889 206032804 210511778 412065608 421023556 824131216 842047112 1684094224 2420885447 4841770894 9683541788 19367083576 38734167152