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38095238088 = 2333316139281
BaseRepresentation
bin100011011110101001…
…110011001111001000
310122022220220121101000
4203132221303033020
51111004340104323
625300053055000
72516015116035
oct433651631710
9118286817330
1038095238088
1115179850246
127472027460
1337915723cb
141bb562438c
15ece687e43
hex8dea733c8

38095238088 has 128 divisors (see below), whose sum is σ = 109423641600. Its totient is φ = 12267417600.

The previous prime is 38095238063. The next prime is 38095238131. The reversal of 38095238088 is 88083259083.

38095238088 is a `hidden beast` number, since 38 + 0 + 9 + 523 + 8 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 4100008 + ... + 4109288.

It is an arithmetic number, because the mean of its divisors is an integer number (854872200).

Almost surely, 238095238088 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 38095238088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54711820800).

38095238088 is an abundant number, since it is smaller than the sum of its proper divisors (71328403512).

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

38095238088 is a wasteful number, since it uses less digits than its factorization.

38095238088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 38095238088 in words is "thirty-eight billion, ninety-five million, two hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 613 744 837 1116 1226 1674 1839 2232 2452 3348 3678 4904 5517 6696 7356 9281 11034 14712 16551 18562 19003 22068 27843 33102 37124 38006 44136 55686 57009 66204 74248 76012 83529 111372 114018 132408 152024 167058 171027 222744 228036 250587 287711 334116 342054 456072 501174 513081 575422 668232 684108 863133 1002348 1026162 1150844 1368216 1726266 2004696 2052324 2301688 2589399 3452532 4104648 5178798 5689253 6905064 7768197 10357596 11378506 15536394 17067759 20715192 22757012 31072788 34135518 45514024 51203277 62145576 68271036 102406554 136542072 153609831 176366843 204813108 307219662 352733686 409626216 529100529 614439324 705467372 1058201058 1228878648 1410934744 1587301587 2116402116 3174603174 4232804232 4761904761 6349206348 9523809522 12698412696 19047619044 38095238088