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51817426272 = 253452138371
BaseRepresentation
bin110000010000100011…
…110010110101100000
311221202020121222210000
4300100203302311200
51322110230120042
635445443140000
73513040566423
oct602043626540
9157666558700
1051817426272
111aa8064a337
12a061674600
134b6a4518a1
142717c619ba
1515341e174c
hexc108f2d60

51817426272 has 120 divisors (see below), whose sum is σ = 152690092632. Its totient is φ = 17238873600.

The previous prime is 51817426267. The next prime is 51817426273. The reversal of 51817426272 is 27262471815.

51817426272 is a `hidden beast` number, since 5 + 1 + 8 + 17 + 4 + 2 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51817426273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1331247 + ... + 1369617.

Almost surely, 251817426272 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 51817426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76345046316).

51817426272 is an abundant number, since it is smaller than the sum of its proper divisors (100872666360).

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

51817426272 is a wasteful number, since it uses less digits than its factorization.

51817426272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38914 (or 38897 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

It can be divided in two parts, 518174 and 26272, that added together give a triangular number (544446 = T1043).

The spelling of 51817426272 in words is "fifty-one billion, eight hundred seventeen million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 521 648 864 1042 1296 1563 2084 2592 3126 4168 4689 6252 8336 9378 12504 14067 16672 18756 25008 28134 37512 38371 42201 50016 56268 75024 76742 84402 112536 115113 150048 153484 168804 225072 230226 306968 337608 345339 450144 460452 613936 675216 690678 920904 1036017 1227872 1350432 1381356 1841808 2072034 2762712 3108051 3683616 4144068 5525424 6216102 8288136 11050848 12432204 16576272 19991291 24864408 33152544 39982582 49728816 59973873 79965164 99457632 119947746 159930328 179921619 239895492 319860656 359843238 479790984 539764857 639721312 719686476 959581968 1079529714 1439372952 1619294571 1919163936 2159059428 2878745904 3238589142 4318118856 5757491808 6477178284 8636237712 12954356568 17272475424 25908713136 51817426272