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38427269560 = 23547163125399
BaseRepresentation
bin100011110010011100…
…011001100110111000
310200012001200112220221
4203302130121212320
51112144340111220
625353033425424
72530156254601
oct436234314670
9120161615827
1038427269560
111532a212419
12754526b274
1338152a6a34
141c07774da8
15eed8c29aa
hex8f27199b8

38427269560 has 64 divisors (see below), whose sum is σ = 88843392000. Its totient is φ = 14951454336.

The previous prime is 38427269519. The next prime is 38427269567. The reversal of 38427269560 is 6596272483.

38427269560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38427269498 and 38427269507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38427269567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243741 + ... + 369139.

It is an arithmetic number, because the mean of its divisors is an integer number (1388178000).

Almost surely, 238427269560 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 38427269560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421696000).

38427269560 is an abundant number, since it is smaller than the sum of its proper divisors (50416122440).

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

38427269560 is a wasteful number, since it uses less digits than its factorization.

38427269560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125620 (or 125616 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 38427269560 in words is "thirty-eight billion, four hundred twenty-seven million, two hundred sixty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 163 188 235 326 376 470 652 815 940 1304 1630 1880 3260 6520 7661 15322 30644 38305 61288 76610 125399 153220 250798 306440 501596 626995 1003192 1253990 2507980 5015960 5893753 11787506 20440037 23575012 29468765 40880074 47150024 58937530 81760148 102200185 117875060 163520296 204400370 235750120 408800740 817601480 960681739 1921363478 3842726956 4803408695 7685453912 9606817390 19213634780 38427269560