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38803749312 = 263461438401
BaseRepresentation
bin100100001000111000…
…100011100111000000
310201011022002201001110
4210020320203213000
51113432224434222
625454243003320
72542410266316
oct441070434700
9121138081043
1038803749312
1115502783209
12762b369540
1338752a1813
141c417760b6
15102198c30c
hex908e239c0

38803749312 has 56 divisors (see below), whose sum is σ = 102891195792. Its totient is φ = 12906496000.

The previous prime is 38803749311. The next prime is 38803749407. The reversal of 38803749312 is 21394730883.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38803749311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130689 + ... + 307712.

It is an arithmetic number, because the mean of its divisors is an integer number (1837342782).

Almost surely, 238803749312 is an apocalyptic number.

38803749312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38803749312 is an abundant number, since it is smaller than the sum of its proper divisors (64087446480).

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

38803749312 is a wasteful number, since it uses less digits than its factorization.

38803749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438877 (or 438867 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 38803749312 in words is "thirty-eight billion, eight hundred three million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 461 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 29504 44256 88512 438401 876802 1315203 1753604 2630406 3507208 5260812 7014416 10521624 14028832 21043248 28057664 42086496 84172992 202102861 404205722 606308583 808411444 1212617166 1616822888 2425234332 3233645776 4850468664 6467291552 9700937328 12934583104 19401874656 38803749312