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38504319232 = 281273473413
BaseRepresentation
bin100011110111000010…
…010100100100000000
310200101102200002012111
4203313002110210000
51112324101203412
625404425105104
72532113212321
oct436702244400
9120342602174
1038504319232
1115369758a35
127567028194
133828243262
141c13ab0448
1510055422a7
hex8f7094900

38504319232 has 72 divisors (see below), whose sum is σ = 77709413376. Its totient is φ = 19039942656.

The previous prime is 38504319197. The next prime is 38504319239. The reversal of 38504319232 is 23291340583.

It is not an unprimeable number, because it can be changed into a prime (38504319239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11279958 + ... + 11283370.

It is an arithmetic number, because the mean of its divisors is an integer number (1079297408).

Almost surely, 238504319232 is an apocalyptic number.

38504319232 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 38504319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854706688).

38504319232 is an abundant number, since it is smaller than the sum of its proper divisors (39205094144).

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

38504319232 is a wasteful number, since it uses less digits than its factorization.

38504319232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 38504319232 in words is "thirty-eight billion, five hundred four million, three hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 347 508 694 1016 1388 2032 2776 3413 4064 5552 6826 8128 11104 13652 16256 22208 27304 32512 44069 44416 54608 88138 88832 109216 176276 218432 352552 433451 436864 705104 866902 873728 1184311 1410208 1733804 2368622 2820416 3467608 4737244 5640832 6935216 9474488 11281664 13870432 18948976 27740864 37897952 55481728 75795904 110963456 150407497 151591808 300814994 303183616 601629988 1203259976 2406519952 4813039904 9626079808 19252159616 38504319232