Search a number
-
+
50430640480 = 25511190115073
BaseRepresentation
bin101110111101111001…
…101000000101100000
311211011121010222022021
4232331321220011200
51311240220443410
635100103351224
73433501241233
oct567571500540
9154147128267
1050430640480
111a429866680
129935152514
1349a904b98c
1426259cd41a
1514a25abeda
hexbbde68160

50430640480 has 96 divisors (see below), whose sum is σ = 130050512928. Its totient is φ = 18327552000.

The previous prime is 50430640459. The next prime is 50430640517. The reversal of 50430640480 is 8404603405.

50430640480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3338224 + ... + 3353296.

It is an arithmetic number, because the mean of its divisors is an integer number (1354692843).

Almost surely, 250430640480 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 50430640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65025256464).

50430640480 is an abundant number, since it is smaller than the sum of its proper divisors (79619872448).

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

50430640480 is a wasteful number, since it uses less digits than its factorization.

50430640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 50430640480 in words is "fifty billion, four hundred thirty million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1901 3802 7604 9505 15073 15208 19010 20911 30146 30416 38020 41822 60292 60832 75365 76040 83644 104555 120584 150730 152080 165803 167288 209110 241168 301460 304160 331606 334576 418220 482336 602920 663212 669152 829015 836440 1205840 1326424 1658030 1672880 2411680 2652848 3316060 3345760 5305696 6632120 13264240 26528480 28653773 57307546 114615092 143268865 229230184 286537730 315191503 458460368 573075460 630383006 916920736 1146150920 1260766012 1575957515 2292301840 2521532024 3151915030 4584603680 5043064048 6303830060 10086128096 12607660120 25215320240 50430640480