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2061478944 = 253372811213
BaseRepresentation
bin111101011011111…
…1010110000100000
312022200000222111000
41322313322300200
513210214311234
6540320352000
7102041165460
oct17267726040
95280028430
102061478944
11968718708
12496475600
1326b121535
14157addba0
15c0ea8899
hex7adfac20

2061478944 has 192 divisors, whose sum is σ = 6901735680. Its totient is φ = 586414080.

The previous prime is 2061478943. The next prime is 2061478963. The reversal of 2061478944 is 4498741602.

2061478944 is a `hidden beast` number, since 20 + 614 + 7 + 8 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2061478944.

It is not an unprimeable number, because it can be changed into a prime (2061478943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698882 + ... + 1700094.

It is an arithmetic number, because the mean of its divisors is an integer number (35946540).

Almost surely, 22061478944 is an apocalyptic number.

2061478944 is a gapful number since it is divisible by the number (24) 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 2061478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450867840).

2061478944 is an abundant number, since it is smaller than the sum of its proper divisors (4840256736).

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

2061478944 is a wasteful number, since it uses less digits than its factorization.

2061478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2061478944 is about 45403.5124632445. The cubic root of 2061478944 is about 1272.7007530751.

The spelling of 2061478944 in words is "two billion, sixty-one million, four hundred seventy-eight thousand, nine hundred forty-four".