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38971752718680 = 23335107761334861
BaseRepresentation
bin10001101110001110100010…
…11110100010000101011000
312002222122220110021000111000
420313013101132202011120
520102003122143444210
6214515213120305000
711131421235260565
oct1067072136420530
9162878813230430
1038971752718680
1111465911466691
124454ba1172160
1318990360b10a2
1498a35871386c
15478b28695ac0
hex2371d17a2158

38971752718680 has 128 divisors (see below), whose sum is σ = 129907435838400. Its totient is φ = 10392339916800.

The previous prime is 38971752718597. The next prime is 38971752718697. The reversal of 38971752718680 is 8681725717983.

It is a happy number.

38971752718680 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 1 + 7 + 527 + 18 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38971752718599 and 38971752718608.

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, 116214450 + ... + 116549310.

Almost surely, 238971752718680 is an apocalyptic number.

38971752718680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38971752718680 is an abundant number, since it is smaller than the sum of its proper divisors (90935683119720).

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

38971752718680 is a wasteful number, since it uses less digits than its factorization.

38971752718680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442642 (or 442632 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 38971752718680 in words is "thirty-eight trillion, nine hundred seventy-one billion, seven hundred fifty-two million, seven hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 107761 215522 323283 334861 431044 538805 646566 669722 862088 969849 1004583 1077610 1293132 1339444 1616415 1674305 1939698 2009166 2155220 2586264 2678888 2909547 3013749 3232830 3348610 3879396 4018332 4310440 4849245 5022915 5819094 6027498 6465660 6697220 7758792 8036664 9041247 9698490 10045830 11638188 12054996 12931320 13394440 14547735 15068745 18082494 19396980 20091660 23276376 24109992 29095470 30137490 36164988 38793960 40183320 45206235 58190940 60274980 72329976 90412470 116381880 120549960 180824940 361649880 36084956221 72169912442 108254868663 144339824884 180424781105 216509737326 288679649768 324764605989 360849562210 433019474652 541274343315 649529211978 721699124420 866038949304 974293817967 1082548686630 1299058423956 1443398248840 1623823029945 1948587635934 2165097373260 2598116847912 3247646059890 3897175271868 4330194746520 4871469089835 6495292119780 7794350543736 9742938179670 12990584239560 19485876359340 38971752718680