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50625731968 = 277313595077
BaseRepresentation
bin101111001001100001…
…110101110110000000
311211200012020122111221
4233021201311312000
51312140141410333
635131313044424
73441360423130
oct571141656600
9154605218457
1050625731968
111a5199a6809
12998a556714
134a0a5a7a26
142643894ac0
1514b4796d2d
hexbc9875d80

50625731968 has 128 divisors (see below), whose sum is σ = 119337062400. Its totient is φ = 20934236160.

The previous prime is 50625731953. The next prime is 50625731977. The reversal of 50625731968 is 86913752605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9969046 + ... + 9974122.

It is an arithmetic number, because the mean of its divisors is an integer number (932320800).

Almost surely, 250625731968 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 50625731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59668531200).

50625731968 is an abundant number, since it is smaller than the sum of its proper divisors (68711330432).

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

50625731968 is a wasteful number, since it uses less digits than its factorization.

50625731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 50625731968 in words is "fifty billion, six hundred twenty-five million, seven hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 359 434 448 496 718 868 896 992 1436 1736 1984 2513 2872 3472 3968 5026 5077 5744 6944 10052 10154 11129 11488 13888 20104 20308 22258 22976 27776 35539 40208 40616 44516 45952 71078 77903 80416 81232 89032 142156 155806 157387 160832 162464 178064 284312 311612 314774 321664 324928 356128 568624 623224 629548 649856 712256 1101709 1137248 1246448 1259096 1424512 1822643 2203418 2274496 2492896 2518192 3645286 4406836 4548992 4985792 5036384 7290572 8813672 9971584 10072768 12758501 14581144 17627344 20145536 25517002 29162288 35254688 51034004 56501933 58324576 70509376 102068008 113003866 116649152 141018752 204136016 226007732 233298304 395513531 408272032 452015464 791027062 816544064 904030928 1582054124 1633088128 1808061856 3164108248 3616123712 6328216496 7232247424 12656432992 25312865984 50625731968