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38682101645112 = 233103601115122621
BaseRepresentation
bin10001100101110011000001…
…11011010111111100111000
312001221222021011122220221110
420302321200323113330320
520032231421010120422
6214134151232440320
711101455352623342
oct1062714073277470
9161858234586843
1038682101645112
1111363a94a35a52
124408a256a90a0
13187792533b2b3
1497a31bc02292
1547132481a60c
hex232e60ed7f38

38682101645112 has 128 divisors (see below), whose sum is σ = 97895912325120. Its totient is φ = 12735964800000.

The previous prime is 38682101645053. The next prime is 38682101645129. The reversal of 38682101645112 is 21154610128683.

It is a happy number.

It is a congruent number.

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, 1709997162 + ... + 1710019782.

It is an arithmetic number, because the mean of its divisors is an integer number (764811815040).

Almost surely, 238682101645112 is an apocalyptic number.

It is an amenable number.

38682101645112 is an abundant number, since it is smaller than the sum of its proper divisors (59213810680008).

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

38682101645112 is a wasteful number, since it uses less digits than its factorization.

38682101645112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24485 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 38682101645112 in words is "thirty-eight trillion, six hundred eighty-two billion, one hundred one million, six hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 601 618 824 1151 1202 1236 1803 2302 2404 2472 3453 3606 4604 4808 6906 7212 9208 13812 14424 22621 27624 45242 61903 67863 90484 118553 123806 135726 180968 185709 237106 247612 271452 355659 371418 474212 495224 542904 691751 711318 742836 948424 1383502 1422636 1485672 2075253 2329963 2767004 2845272 4150506 4659926 5534008 6989889 8301012 9319852 13595221 13979778 16602024 18639704 26036771 27190442 27959556 40785663 52073542 54380884 55919112 71250353 78110313 81571326 104147084 108761768 142500706 156220626 163142652 208294168 213751059 285001412 312441252 326285304 427502118 570002824 624882504 855004236 1400307763 1710008472 2681787413 2800615526 4200923289 5363574826 5601231052 8045362239 8401846578 10727149652 11202462104 15648099371 16090724478 16803693156 21454299304 31296198742 32181448956 33607386312 46944298113 62592397484 64362897912 93888596226 125184794968 187777192452 375554384904 1611754235213 3223508470426 4835262705639 6447016940852 9670525411278 12894033881704 19341050822556 38682101645112