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38808905396748 = 223175923891349687
BaseRepresentation
bin10001101001011111001110…
…00001010011001000001100
312002102002120100021221002020
420310233213001103020030
520041321114240143443
6214312322013130140
711113564566004344
oct1064574701231014
9162362510257066
1038808905396748
1111402845394403
124429513a89950
131886882c88ab6
1498250a9bbd24
15474796c72583
hex234be705320c

38808905396748 has 96 divisors (see below), whose sum is σ = 97546810636800. Its totient is φ = 11963962223616.

The previous prime is 38808905396743. The next prime is 38808905396761. The reversal of 38808905396748 is 84769350980883.

It is a super-2 number, since 2×388089053967482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38808905396743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28079161 + ... + 29428847.

It is an arithmetic number, because the mean of its divisors is an integer number (1016112610800).

Almost surely, 238808905396748 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 38808905396748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48773405318400).

38808905396748 is an abundant number, since it is smaller than the sum of its proper divisors (58737905240052).

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

38808905396748 is a wasteful number, since it uses less digits than its factorization.

38808905396748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352159 (or 1352157 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 38808905396748 in words is "thirty-eight trillion, eight hundred eight billion, nine hundred five million, three hundred ninety-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 2389 3009 4012 4778 6018 7167 9556 12036 14334 28668 40613 81226 121839 140951 162452 243678 281902 422853 487356 563804 845706 1349687 1691412 2396167 2699374 4049061 4792334 5398748 7188501 8098122 9584668 14377002 16196244 22944679 28754004 45889358 68834037 79631533 91778716 137668074 159263066 238894599 275336148 318526132 477789198 955578396 1353736061 2707472122 3224402243 4061208183 5414944244 6448804486 8122416366 9673206729 12897608972 16244832732 19346413458 38692826916 54814838131 109629676262 164444514393 190239732337 219259352524 328889028786 380479464674 570719197011 657778057572 760958929348 1141438394022 2282876788044 3234075449729 6468150899458 9702226349187 12936301798916 19404452698374 38808905396748