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19516952448 = 27327349393
BaseRepresentation
bin10010001011010011…
…010000111110000000
31212101011120220120200
4102023103100332000
5304432314434243
612544352005200
71260435234000
oct221323207600
955334526520
1019516952448
1183058a1274
123948230800
131ac05a9a96
14d320a4000
15793650ad3
hex48b4d0f80

19516952448 has 192 divisors, whose sum is σ = 65496444000. Its totient is φ = 5576159232.

The previous prime is 19516952447. The next prime is 19516952479. The reversal of 19516952448 is 84425961591.

19516952448 is a `hidden beast` number, since 1 + 9 + 51 + 69 + 524 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×195169524482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19516952394 and 19516952403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19516952447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370440 + ... + 419832.

Almost surely, 219516952448 is an apocalyptic number.

19516952448 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 19516952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32748222000).

19516952448 is an abundant number, since it is smaller than the sum of its proper divisors (45979491552).

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

19516952448 is an equidigital number, since it uses as much as digits as its factorization.

19516952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49434 (or 49405 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 19516952448 in words is "nineteen billion, five hundred sixteen million, nine hundred fifty-two thousand, four hundred forty-eight".