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51248424384 = 263397305749
BaseRepresentation
bin101111101110101001…
…001110010111000000
311220021120221200221000
4233232221032113000
51314424044040014
635313155332000
73462661263663
oct575651162700
9156246850830
1051248424384
111a809443843
129b22bb1000
134aa95ba391
1426a24676da
1514ee298509
hexbeea4e5c0

51248424384 has 112 divisors (see below), whose sum is σ = 152214580000. Its totient is φ = 16906641408.

The previous prime is 51248424371. The next prime is 51248424397. The reversal of 51248424384 is 48342484215.

51248424384 is a `hidden beast` number, since 5 + 1 + 248 + 4 + 24 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (51248424371) and next prime (51248424397).

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 15 ways as a sum of consecutive naturals, for example, 14742 + ... + 320490.

It is an arithmetic number, because the mean of its divisors is an integer number (1359058750).

Almost surely, 251248424384 is an apocalyptic number.

51248424384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51248424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76107290000).

51248424384 is an abundant number, since it is smaller than the sum of its proper divisors (100966155616).

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

51248424384 is a wasteful number, since it uses less digits than its factorization.

51248424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305867 (or 305851 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 51248424384 in words is "fifty-one billion, two hundred forty-eight million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 20952 27936 41904 55872 83808 167616 305749 611498 917247 1222996 1834494 2445992 2751741 3668988 4891984 5503482 7337976 8255223 9783968 11006964 14675952 16510446 19567936 22013928 29351904 29657653 33020892 44027856 58703808 59315306 66041784 88055712 88972959 118630612 132083568 176111424 177945918 237261224 264167136 266918877 355891836 474522448 528334272 533837754 711783672 800756631 949044896 1067675508 1423567344 1601513262 1898089792 2135351016 2847134688 3203026524 4270702032 5694269376 6406053048 8541404064 12812106096 17082808128 25624212192 51248424384