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13219289748 = 22347194761107
BaseRepresentation
bin11000100111110111…
…00101101010010100
31021010021102111110000
430103323211222110
5204033114232443
610023423131300
7645405052230
oct142373455224
937107374400
1013219289748
115673a43055
12268b143b30
131328951052
148d592d5c0
1552581b8d3
hex313ee5a94

13219289748 has 480 divisors, whose sum is σ = 43557212160. Its totient is φ = 3412419840.

The previous prime is 13219289719. The next prime is 13219289801. The reversal of 13219289748 is 84798291231.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13219289694 and 13219289703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123544711 + ... + 123544817.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 213219289748 is an apocalyptic number.

13219289748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13219289748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

13219289748 is an abundant number, since it is smaller than the sum of its proper divisors (30337922412).

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

13219289748 is a wasteful number, since it uses less digits than its factorization.

13219289748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 13219289748 in words is "thirteen billion, two hundred nineteen million, two hundred eighty-nine thousand, seven hundred forty-eight".