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38003324928 = 211314941513
BaseRepresentation
bin100011011001001011…
…001011100000000000
310122002111221221012220
4203121023023200000
51110312322344203
625243011051040
72513520634452
oct433113134000
9118074857186
1038003324928
1115131982558
1274472a0a80
13377850071a
141ba733a2d2
15ec657e653
hex8d92cb800

38003324928 has 96 divisors (see below), whose sum is σ = 101999898000. Its totient is φ = 12582453248.

The previous prime is 38003324921. The next prime is 38003324929. The reversal of 38003324928 is 82942330083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 38003324928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38003324921) 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, 894700 + ... + 936212.

Almost surely, 238003324928 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 38003324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50999949000).

38003324928 is an abundant number, since it is smaller than the sum of its proper divisors (63996573072).

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

38003324928 is a wasteful number, since it uses less digits than its factorization.

38003324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41687 (or 41667 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 38003324928 in words is "thirty-eight billion, three million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 512 596 768 894 1024 1192 1536 1788 2048 2384 3072 3576 4768 6144 7152 9536 14304 19072 28608 38144 41513 57216 76288 83026 114432 124539 152576 166052 228864 249078 305152 332104 457728 498156 664208 915456 996312 1328416 1992624 2656832 3985248 5313664 6185437 7970496 10627328 12370874 15940992 18556311 21254656 24741748 31881984 37112622 42509312 49483496 63763968 74225244 85018624 98966992 127527936 148450488 197933984 255055872 296900976 395867968 593801952 791735936 1187603904 1583471872 2375207808 3166943744 4750415616 6333887488 9500831232 12667774976 19001662464 38003324928