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50445225440 = 2551492837477
BaseRepresentation
bin101110111110110001…
…010000110111100000
311211012121120222002222
4232332301100313200
51311302434203230
635101344130212
73434036225051
oct567661206740
9154177528088
1050445225440
111a437018565
12993a006968
1349ac08742c
142627908728
1514a39dd6e5
hexbbec50de0

50445225440 has 96 divisors (see below), whose sum is σ = 120416738400. Its totient is φ = 19969173504.

The previous prime is 50445225421. The next prime is 50445225461. The reversal of 50445225440 is 4452254405.

It is a self number, because there is not a number n which added to its sum of digits gives 50445225440.

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, 6742982 + ... + 6750458.

It is an arithmetic number, because the mean of its divisors is an integer number (1254341025).

Almost surely, 250445225440 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 50445225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60208369200).

50445225440 is an abundant number, since it is smaller than the sum of its proper divisors (69971512960).

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

50445225440 is a wasteful number, since it uses less digits than its factorization.

50445225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 50445225440 its reverse (4452254405), we get a palindrome (54897479845).

The spelling of 50445225440 in words is "fifty billion, four hundred forty-five million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 283 298 566 596 745 1132 1192 1415 1490 2264 2384 2830 2980 4528 4768 5660 5960 7477 9056 11320 11920 14954 22640 23840 29908 37385 42167 45280 59816 74770 84334 119632 149540 168668 210835 239264 299080 337336 421670 598160 674672 843340 1114073 1196320 1349344 1686680 2115991 2228146 3373360 4231982 4456292 5570365 6746720 8463964 8912584 10579955 11140730 16927928 17825168 21159910 22281460 33855856 35650336 42319820 44562920 67711712 84639640 89125840 169279280 178251680 315282659 338558560 630565318 1261130636 1576413295 2522261272 3152826590 5044522544 6305653180 10089045088 12611306360 25222612720 50445225440