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38551737056 = 2572107229781
BaseRepresentation
bin100011111001110111…
…001101001011100000
310200111201220011020012
4203321313031023200
51112423221041211
625413241304052
72533230233600
oct437167151340
9120451804205
1038551737056
11153934a5718
12757aa95028
133835006241
141c1a0d4c00
1510097abd8b
hex8f9dcd2e0

38551737056 has 72 divisors (see below), whose sum is σ = 89115893496. Its totient is φ = 16367688960.

The previous prime is 38551737031. The next prime is 38551737083. The reversal of 38551737056 is 65073715583.

It is a junction number, because it is equal to n+sod(n) for n = 38551736995 and 38551737013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52886 + ... + 282666.

It is an arithmetic number, because the mean of its divisors is an integer number (1237720743).

Almost surely, 238551737056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38551737056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44557946748).

38551737056 is an abundant number, since it is smaller than the sum of its proper divisors (50564156440).

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

38551737056 is a wasteful number, since it uses less digits than its factorization.

38551737056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229912 (or 229897 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 50.

The spelling of 38551737056 in words is "thirty-eight billion, five hundred fifty-one million, seven hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 196 214 224 392 428 749 784 856 1498 1568 1712 2996 3424 5243 5992 10486 11984 20972 23968 41944 83888 167776 229781 459562 919124 1608467 1838248 3216934 3676496 6433868 7352992 11259269 12867736 22518538 24586567 25735472 45037076 49173134 51470944 90074152 98346268 172105969 180148304 196692536 344211938 360296608 393385072 688423876 786770144 1204741783 1376847752 2409483566 2753695504 4818967132 5507391008 9637934264 19275868528 38551737056