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19431398448 = 2434721127817
BaseRepresentation
bin10010000110001100…
…111001110000110000
31212011012121022120000
4102012030321300300
5304243414222243
612532054150000
71255346106300
oct220614716060
955135538500
1019431398448
118271577290
123923652300
131aa8953707
14d24993600
1578ada15d3
hex486339c30

19431398448 has 300 divisors, whose sum is σ = 71372197512. Its totient is φ = 5046935040.

The previous prime is 19431398443. The next prime is 19431398449. The reversal of 19431398448 is 84489313491.

19431398448 is a `hidden beast` number, since 194 + 3 + 1 + 3 + 9 + 8 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19431398394 and 19431398403.

It is not an unprimeable number, because it can be changed into a prime (19431398443) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 684636 + ... + 712452.

Almost surely, 219431398448 is an apocalyptic number.

19431398448 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 19431398448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686098756).

19431398448 is an abundant number, since it is smaller than the sum of its proper divisors (51940799064).

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

19431398448 is a wasteful number, since it uses less digits than its factorization.

19431398448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27862 (or 27840 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 19431398448 in words is "nineteen billion, four hundred thirty-one million, three hundred ninety-eight thousand, four hundred forty-eight".