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13420858848 = 2531910696883
BaseRepresentation
bin11000111111111001…
…00000110111100000
31021122022201021021020
430133330200313200
5204441214440343
610055423325440
7653403263235
oct143774406740
937568637236
1013420858848
1157677a7991
122726750880
13135b6375c7
149145dd78c
15538385b83
hex31ff20de0

13420858848 has 96 divisors (see below), whose sum is σ = 37124035200. Its totient is φ = 4233586176.

The previous prime is 13420858837. The next prime is 13420858939. The reversal of 13420858848 is 84885802431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13420858848.

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, 1946415 + ... + 1953297.

It is an arithmetic number, because the mean of its divisors is an integer number (386708700).

Almost surely, 213420858848 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 13420858848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562017600).

13420858848 is an abundant number, since it is smaller than the sum of its proper divisors (23703176352).

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

13420858848 is a wasteful number, since it uses less digits than its factorization.

13420858848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 13420858848 in words is "thirteen billion, four hundred twenty million, eight hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1069 1824 2138 3207 4276 6414 6883 8552 12828 13766 17104 20311 20649 25656 27532 34208 40622 41298 51312 55064 60933 81244 82596 102624 110128 121866 130777 162488 165192 220256 243732 261554 324976 330384 392331 487464 523108 649952 660768 784662 974928 1046216 1569324 1949856 2092432 3138648 4184864 6277296 7357927 12554592 14715854 22073781 29431708 44147562 58863416 88295124 117726832 139800613 176590248 235453664 279601226 353180496 419401839 559202452 706360992 838803678 1118404904 1677607356 2236809808 3355214712 4473619616 6710429424 13420858848