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5648799456 = 253219613887
BaseRepresentation
bin1010100001011000…
…11101011011100000
3112120200012202002200
411100230131123200
543032043040311
62332305213200
7256661001036
oct52054353340
915520182080
105648799456
112439666703
121117931200
136c03b22b1
143b830c556
15230db3556
hex150b1d6e0

5648799456 has 36 divisors (see below), whose sum is σ = 16063774272. Its totient is φ = 1882933056.

The previous prime is 5648799449. The next prime is 5648799479. The reversal of 5648799456 is 6549978465.

5648799456 is a `hidden beast` number, since 56 + 48 + 7 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 5648799393 and 5648799402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9806656 + ... + 9807231.

It is an arithmetic number, because the mean of its divisors is an integer number (446215952).

Almost surely, 25648799456 is an apocalyptic number.

It is an amenable number.

5648799456 is an abundant number, since it is smaller than the sum of its proper divisors (10414974816).

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

5648799456 is a wasteful number, since it uses less digits than its factorization.

5648799456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19613903 (or 19613892 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 5648799456 is about 75158.4955677001. The cubic root of 5648799456 is about 1780.9513342425.

The spelling of 5648799456 in words is "five billion, six hundred forty-eight million, seven hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19613887 39227774 58841661 78455548 117683322 156911096 176524983 235366644 313822192 353049966 470733288 627644384 706099932 941466576 1412199864 1882933152 2824399728 5648799456