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19534043648 = 29722926849
BaseRepresentation
bin10010001100010100…
…011101101000000000
31212102100202020022002
4102030110131220000
5310001203344043
612550202203132
71261033426400
oct221424355000
955370666262
1019534043648
118314505129
123951ab34a8
131ac3cb2212
14d34472800
15794dc9bb8
hex48c51da00

19534043648 has 120 divisors (see below), whose sum is σ = 46969510500. Its totient is φ = 8082751488.

The previous prime is 19534043623. The next prime is 19534043653. The reversal of 19534043648 is 84634043591.

It can be written as a sum of positive squares in 2 ways, for example, as 19318776064 + 215267584 = 138992^2 + 14672^2 .

It is a super-2 number, since 2×195340436482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714128 + ... + 740976.

Almost surely, 219534043648 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 19534043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484755250).

19534043648 is an abundant number, since it is smaller than the sum of its proper divisors (27435466852).

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

19534043648 is an equidigital number, since it uses as much as digits as its factorization.

19534043648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26910 (or 26887 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 19534043648 in words is "nineteen billion, five hundred thirty-four million, forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 784 812 896 928 1421 1568 1624 1792 1856 2842 3136 3248 3584 3712 5684 6272 6496 7424 11368 12544 12992 14848 22736 25088 25984 26849 45472 51968 53698 90944 103936 107396 181888 187943 214792 363776 375886 429584 727552 751772 778621 859168 1315601 1503544 1557242 1718336 2631202 3007088 3114484 3436672 5262404 5450347 6014176 6228968 6873344 10524808 10900694 12028352 12457936 13746688 21049616 21801388 24056704 24915872 38152429 42099232 43602776 48113408 49831744 76304858 84198464 87205552 96226816 99663488 152609716 168396928 174411104 199326976 305219432 336793856 348822208 398653952 610438864 673587712 697644416 1220877728 1395288832 2441755456 2790577664 4883510912 9767021824 19534043648