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53106026112 = 27346183969
BaseRepresentation
bin110001011101010111…
…011010011010000000
312002002001100122110000
4301131113122122000
51332230120313422
640221354240000
73560005526316
oct613527323200
9162061318400
1053106026112
1120581a70487
12a361126000
1350143c78b9
1427db0560b6
1515ac3cdcac
hexc5d5da680

53106026112 has 160 divisors (see below), whose sum is σ = 160635449700. Its totient is φ = 17411604480.

The previous prime is 53106026059. The next prime is 53106026119. The reversal of 53106026112 is 21162060135.

53106026112 is a `hidden beast` number, since 53 + 1 + 0 + 602 + 6 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52984673856 + 121352256 = 230184^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53106026119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 590464 + ... + 674432.

Almost surely, 253106026112 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 53106026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80317724850).

53106026112 is an abundant number, since it is smaller than the sum of its proper divisors (107529423588).

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

53106026112 is an equidigital number, since it uses as much as digits as its factorization.

53106026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84056 (or 84035 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 53106026112 its reverse (21162060135), we get a palindrome (74268086247).

The spelling of 53106026112 in words is "fifty-three billion, one hundred six million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 244 288 324 366 384 432 488 549 576 648 732 864 976 1098 1152 1296 1464 1647 1728 1952 2196 2592 2928 3294 3456 3904 4392 4941 5184 5856 6588 7808 8784 9882 10368 11712 13176 17568 19764 23424 26352 35136 39528 52704 70272 79056 83969 105408 158112 167938 210816 251907 316224 335876 503814 632448 671752 755721 1007628 1343504 1511442 2015256 2267163 2687008 3022884 4030512 4534326 5122109 5374016 6045768 6801489 8061024 9068652 10244218 10748032 12091536 13602978 15366327 16122048 18137304 20488436 24183072 27205956 30732654 32244096 36274608 40976872 46098981 48366144 54411912 61465308 72549216 81953744 92197962 96732288 108823824 122930616 138296943 145098432 163907488 184395924 217647648 245861232 276593886 290196864 327814976 368791848 414890829 435295296 491722464 553187772 655629952 737583696 829781658 870590592 983444928 1106375544 1475167392 1659563316 1966889856 2212751088 2950334784 3319126632 4425502176 5900669568 6638253264 8851004352 13276506528 17702008704 26553013056 53106026112