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38118478368 = 2536118135963
BaseRepresentation
bin100011100000000010…
…011101001000100000
310122101112122100001010
4203200002131020200
51111031312301433
625302243140520
72516416501665
oct434002351040
9118345570033
1038118478368
1115190983a93
127479974740
13379631b659
141bb8753a6c
15ed1728e63
hex8e009d220

38118478368 has 96 divisors (see below), whose sum is σ = 102266079552. Its totient is φ = 12428467200.

The previous prime is 38118478351. The next prime is 38118478379. The reversal of 38118478368 is 86387481183.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041955 + ... + 1077917.

It is an arithmetic number, because the mean of its divisors is an integer number (1065271662).

Almost surely, 238118478368 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 38118478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51133039776).

38118478368 is an abundant number, since it is smaller than the sum of its proper divisors (64147601184).

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

38118478368 is a wasteful number, since it uses less digits than its factorization.

38118478368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36218 (or 36210 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 38118478368 in words is "thirty-eight billion, one hundred eighteen million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 181 183 244 362 366 488 543 724 732 976 1086 1448 1464 1952 2172 2896 2928 4344 5792 5856 8688 11041 17376 22082 33123 35963 44164 66246 71926 88328 107889 132492 143852 176656 215778 264984 287704 353312 431556 529968 575408 863112 1059936 1150816 1726224 2193743 3452448 4387486 6509303 6581229 8774972 13018606 13162458 17549944 19527909 26037212 26324916 35099888 39055818 52074424 52649832 70199776 78111636 104148848 105299664 156223272 208297696 210599328 312446544 397067483 624893088 794134966 1191202449 1588269932 2382404898 3176539864 4764809796 6353079728 9529619592 12706159456 19059239184 38118478368