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6133830048 = 253221298021
BaseRepresentation
bin1011011011001101…
…01101000110100000
3120211110212211222200
411231212231012200
5100030230030143
62452353133200
7305000460303
oct55546550640
916743784880
106133830048
112668429335
12123225a200
13769a25948
144228c8b3a
1525d7711d3
hex16d9ad1a0

6133830048 has 36 divisors (see below), whose sum is σ = 17443080018. Its totient is φ = 2044609920.

The previous prime is 6133829939. The next prime is 6133830089. The reversal of 6133830048 is 8400383316.

It is a happy number.

6133830048 is a `hidden beast` number, since 613 + 3 + 8 + 30 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3193154064 + 2940675984 = 56508^2 + 54228^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6133829994 and 6133830021.

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, 10648723 + ... + 10649298.

Almost surely, 26133830048 is an apocalyptic number.

It is an amenable number.

6133830048 is an abundant number, since it is smaller than the sum of its proper divisors (11309249970).

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

6133830048 is a wasteful number, since it uses less digits than its factorization.

6133830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21298037 (or 21298026 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6133830048 is about 78318.7720026304. The cubic root of 6133830048 is about 1830.5316667159.

The spelling of 6133830048 in words is "six billion, one hundred thirty-three million, eight hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 21298021 42596042 63894063 85192084 127788126 170384168 191682189 255576252 340768336 383364378 511152504 681536672 766728756 1022305008 1533457512 2044610016 3066915024 6133830048