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38846620085 = 5721320815861
BaseRepresentation
bin100100001011011100…
…000110000110110101
310201021021202202200212
4210023130012012311
51114024213320320
625502413515205
72543440552100
oct441334060665
9121237682625
1038846620085
11155249a46a9
1276417a2b05
133881131c40
141c47335737
1510256099c5
hex90b7061b5

38846620085 has 48 divisors (see below), whose sum is σ = 58436026992. Its totient is φ = 24572620800.

The previous prime is 38846620037. The next prime is 38846620091. The reversal of 38846620085 is 58002664883.

It can be written as a sum of positive squares in 8 ways, for example, as 4607558641 + 34239061444 = 67879^2 + 185038^2 .

It is not a de Polignac number, because 38846620085 - 224 = 38829842869 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6625055 + ... + 6630915.

It is an arithmetic number, because the mean of its divisors is an integer number (1217417229).

Almost surely, 238846620085 is an apocalyptic number.

38846620085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38846620085 is a deficient number, since it is larger than the sum of its proper divisors (19589406907).

38846620085 is a wasteful number, since it uses less digits than its factorization.

38846620085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 38846620085 in words is "thirty-eight billion, eight hundred forty-six million, six hundred twenty thousand, eighty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 2081 3185 5861 10405 14567 27053 29305 41027 72835 76193 101969 135265 189371 205135 287189 380965 509845 533351 946855 1325597 1435945 2666755 3733457 6627985 12196741 18667285 60983705 85377187 158557633 426885935 597640309 792788165 1109903431 2988201545 5549517155 7769324017 38846620085