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3148763904 = 2832111319503
BaseRepresentation
bin1011101110101110…
…0101001100000000
322010102221210001100
42323223211030000
522422040421104
61240240534400
7141013023456
oct27353451400
98112853040
103148763904
111376438a20
1273a621400
133b246c910
1421c28c9d6
1513667c139
hexbbae5300

3148763904 has 432 divisors, whose sum is σ = 11249521920. Its totient is φ = 832757760.

The previous prime is 3148763903. The next prime is 3148763911. The reversal of 3148763904 is 4093678413.

3148763904 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 7 + 639 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3148763904.

It is not an unprimeable number, because it can be changed into a prime (3148763903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6259717 + ... + 6260219.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 23148763904 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 3148763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

3148763904 is an abundant number, since it is smaller than the sum of its proper divisors (8100758016).

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

3148763904 is a wasteful number, since it uses less digits than its factorization.

3148763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3148763904 is about 56113.8477026839. The cubic root of 3148763904 is about 1465.7054388525.

The spelling of 3148763904 in words is "three billion, one hundred forty-eight million, seven hundred sixty-three thousand, nine hundred four".