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38983144181172 = 223195910332805367
BaseRepresentation
bin10001101110100011110000…
…11101100000110110110100
312010000202022100022021022020
420313101320131200312310
520102144434402244142
6214524335331033140
711132303440146522
oct1067217035406664
9163022270267266
1038983144181172
111146a727668aa4
12445724013b7b0
13189a13014b039
1498ab195a5312
154790937adcec
hex237478760db4

38983144181172 has 96 divisors (see below), whose sum is σ = 97465217203200. Its totient is φ = 12090095085312.

The previous prime is 38983144181161. The next prime is 38983144181203. The reversal of 38983144181172 is 27118144138983.

38983144181172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12493233 + ... + 15298599.

It is an arithmetic number, because the mean of its divisors is an integer number (1015262679200).

Almost surely, 238983144181172 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 38983144181172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48732608601600).

38983144181172 is an abundant number, since it is smaller than the sum of its proper divisors (58482073022028).

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

38983144181172 is a wasteful number, since it uses less digits than its factorization.

38983144181172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806485 (or 2806483 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 38983144181172 in words is "thirty-eight trillion, nine hundred eighty-three billion, one hundred forty-four million, one hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1033 1121 2066 2242 3099 3363 4132 4484 6198 6726 12396 13452 19627 39254 58881 60947 78508 117762 121894 182841 235524 243788 365682 731364 1157993 2315986 2805367 3473979 4631972 5610734 6947958 8416101 11221468 13895916 16832202 33664404 53301973 106603946 159905919 165516653 213207892 319811838 331033306 496549959 639623676 662066612 993099918 1986199836 2897944111 3144816407 5795888222 6289632814 8693832333 9434449221 11591776444 12579265628 17387664666 18868898442 34775329332 37737796884 55060938109 110121876218 165182814327 170978702549 220243752436 330365628654 341957405098 512936107647 660731257308 683914810196 1025872215294 2051744430588 3248595348431 6497190696862 9745786045293 12994381393724 19491572090586 38983144181172