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38378729760 = 2535711422241
BaseRepresentation
bin100011101111100011…
…001111000100100000
310200001200100110211120
4203233203033010200
51112044423323020
625344141212240
72526026551260
oct435743170440
9120050313746
1038378729760
1115304879788
127530b61080
133808210167
141c0113b7a0
15ee94d5740
hex8ef8cf120

38378729760 has 96 divisors (see below), whose sum is σ = 138163439232. Its totient is φ = 8772280320.

The previous prime is 38378729749. The next prime is 38378729783. The reversal of 38378729760 is 6792787383.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×383787297602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38378729694 and 38378729703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5707761 + ... + 5714480.

It is an arithmetic number, because the mean of its divisors is an integer number (1439202492).

Almost surely, 238378729760 is an apocalyptic number.

38378729760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38378729760 is an abundant number, since it is smaller than the sum of its proper divisors (99784709472).

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

38378729760 is a wasteful number, since it uses less digits than its factorization.

38378729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422266 (or 11422258 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 38378729760 in words is "thirty-eight billion, three hundred seventy-eight million, seven hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 11422241 22844482 34266723 45688964 57111205 68533446 79955687 91377928 114222410 137066892 159911374 171333615 182755856 228444820 239867061 274133784 319822748 342667230 365511712 399778435 456889640 479734122 548267568 639645496 685334460 799556870 913779280 959468244 1096535136 1199335305 1279290992 1370668920 1599113740 1827558560 1918936488 2398670610 2558581984 2741337840 3198227480 3837872976 4797341220 5482675680 6396454960 7675745952 9594682440 12792909920 19189364880 38378729760