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38817239856 = 24319533372383
BaseRepresentation
bin100100001001101100…
…000001001100110000
310201012020111002121020
4210021230001030300
51113444203133411
625455444055440
72542633044333
oct441154011460
9121166432536
1038817239856
111550a35791a
127633994580
1338780160a5
141c4348861a
151022c54606
hex909b01330

38817239856 has 160 divisors (see below), whose sum is σ = 107911664640. Its totient is φ = 11986071552.

The previous prime is 38817239849. The next prime is 38817239873. The reversal of 38817239856 is 65893271883.

It is a super-2 number, since 2×388172398562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38817239856.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16288041 + ... + 16290423.

It is an arithmetic number, because the mean of its divisors is an integer number (674447904).

Almost surely, 238817239856 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 38817239856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955832320).

38817239856 is an abundant number, since it is smaller than the sum of its proper divisors (69094424784).

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

38817239856 is a wasteful number, since it uses less digits than its factorization.

38817239856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 38817239856 in words is "thirty-eight billion, eight hundred seventeen million, two hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 337 424 456 636 674 848 912 1007 1011 1272 1348 2014 2022 2383 2544 2696 3021 4028 4044 4766 5392 6042 6403 7149 8056 8088 9532 12084 12806 14298 16112 16176 17861 19064 19209 24168 25612 28596 35722 38128 38418 45277 48336 51224 53583 57192 71444 76836 90554 102448 107166 114384 126299 135831 142888 153672 181108 214332 252598 271662 285776 307344 339359 362216 378897 428664 505196 543324 678718 724432 757794 803071 857328 1010392 1018077 1086648 1357436 1515588 1606142 2020784 2036154 2173296 2399681 2409213 2714872 3031176 3212284 4072308 4799362 4818426 5429744 6062352 6424568 7199043 8144616 9598724 9636852 12849136 14398086 15258349 16289232 19197448 19273704 28796172 30516698 38394896 38547408 42562763 45775047 57592344 61033396 85125526 91550094 115184688 122066792 127688289 170251052 183100188 244133584 255376578 340502104 366200376 510753156 681004208 732400752 808692497 1021506312 1617384994 2043012624 2426077491 3234769988 4852154982 6469539976 9704309964 12939079952 19408619928 38817239856