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38475445351203 = 34719109313104683
BaseRepresentation
bin10001011111110010000110…
…10000001011001100100011
312001020012211221101110210000
420233321003100023030203
520020340203002214303
6213455213043111043
711050521255251550
oct1057710320131443
9161205757343700
1038475445351203
1111294387936703
124394970972483
1318612acca7693
14970315ab3a27
1546ac7bd20da3
hex22fe4340b323

38475445351203 has 160 divisors (see below), whose sum is σ = 70001604569600. Its totient is φ = 20571590767104.

The previous prime is 38475445351153. The next prime is 38475445351207. The reversal of 38475445351203 is 30215354457483.

38475445351203 is a `hidden beast` number, since 3 + 8 + 4 + 75 + 4 + 4 + 53 + 512 + 0 + 3 = 666.

It is not a de Polignac number, because 38475445351203 - 29 = 38475445350691 is a prime.

It is a super-3 number, since 3×384754453512033 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38475445351203.

It is not an unprimeable number, because it can be changed into a prime (38475445351207) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 367490100 + ... + 367594782.

It is an arithmetic number, because the mean of its divisors is an integer number (437510028560).

Almost surely, 238475445351203 is an apocalyptic number.

38475445351203 is a deficient number, since it is larger than the sum of its proper divisors (31526159218397).

38475445351203 is a wasteful number, since it uses less digits than its factorization.

38475445351203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105143 (or 105134 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 38475445351203 in words is "thirty-eight trillion, four hundred seventy-five billion, four hundred forty-five million, three hundred fifty-one thousand, two hundred three".

Divisors: 1 3 7 9 19 21 27 57 63 81 109 133 171 189 313 327 399 513 567 763 939 981 1197 1539 2071 2191 2289 2817 2943 3591 5947 6213 6573 6867 8451 8829 10773 14497 17841 18639 19719 20601 25353 34117 41629 43491 53523 55917 59157 61803 102351 104683 124887 130473 160569 167751 177471 238819 307053 314049 374661 391419 481707 648223 716457 732781 921159 942147 1123983 1174257 1944669 1988977 2149371 2198343 2763477 2826441 3371949 4537561 5834007 5966931 6448113 6595029 8479323 11410447 13612683 13922839 17502021 17900793 19344339 19785087 32765779 34231341 40838049 41768517 52506063 53702379 59355261 79873129 98297337 102694023 122514147 125305551 161107137 216798493 229360453 239619387 294892011 308082069 367542441 375916653 622549801 650395479 688081359 718858161 884676033 924246207 1127749959 1517589451 1867649403 1951186437 2064244077 2156574483 2654028099 3571469911 4357848607 4552768353 5602948209 5853559311 6192732231 6469723449 10714409733 13073545821 13658305059 16808844627 17560677933 18578196693 25000289377 32143229199 39220637463 40974915177 50426533881 67857928309 75000868131 96429687597 117661912389 122924745531 203573784927 225002604393 289289062791 352985737167 475005498163 610721354781 675007813179 1425016494489 1832164064343 2025023439537 4275049483467 5496492193029 12825148450401 38475445351203