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13319148992 = 265915672251
BaseRepresentation
bin11000110011110001…
…00001010111000000
31021101020022212120112
430121320201113000
5204234200231432
610041351330452
7651026620112
oct143170412700
937336285515
1013319148992
115715348856
1226b8680a28
131343545766
14904cc53b2
1552e4947b2
hex319e215c0

13319148992 has 56 divisors (see below), whose sum is σ = 26907256320. Its totient is φ = 6539616000.

The previous prime is 13319148989. The next prime is 13319149007. The reversal of 13319148992 is 29984191331.

It is a self number, because there is not a number n which added to its sum of digits gives 13319148992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5915867 + ... + 5918117.

It is an arithmetic number, because the mean of its divisors is an integer number (480486720).

Almost surely, 213319148992 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 13319148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453628160).

13319148992 is an abundant number, since it is smaller than the sum of its proper divisors (13588107328).

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

13319148992 is a wasteful number, since it uses less digits than its factorization.

13319148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3879 counting only the distinct ones).

The product of its digits is 419904, while the sum is 50.

The spelling of 13319148992 in words is "thirteen billion, three hundred nineteen million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1567 1888 2251 3134 3776 4502 6268 9004 12536 18008 25072 36016 50144 72032 92453 100288 132809 144064 184906 265618 369812 531236 739624 1062472 1479248 2124944 2958496 3527317 4249888 5916992 7054634 8499776 14109268 28218536 56437072 112874144 208111703 225748288 416223406 832446812 1664893624 3329787248 6659574496 13319148992