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2047209472 = 2127116491
BaseRepresentation
bin111101000000101…
…1111000000000000
312021200012000110001
41322001133000000
513143041200342
6535050445344
7101505664510
oct17201370000
95250160401
102047209472
11960661860
12491733854
13268196569
14155c67840
15beada8b7
hex7a05f000

2047209472 has 104 divisors (see below), whose sum is σ = 5104893312. Its totient is φ = 797491200.

The previous prime is 2047209469. The next prime is 2047209481. The reversal of 2047209472 is 2749027402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312147 + ... + 318637.

Almost surely, 22047209472 is an apocalyptic number.

2047209472 is a gapful number since it is divisible by the number (22) 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 2047209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552446656).

2047209472 is an abundant number, since it is smaller than the sum of its proper divisors (3057683840).

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

2047209472 is an equidigital number, since it uses as much as digits as its factorization.

2047209472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 2047209472 is about 45246.0989699665. The cubic root of 2047209472 is about 1269.7574240648.

The spelling of 2047209472 in words is "two billion, forty-seven million, two hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4096 4928 5632 6491 7168 9856 11264 12982 14336 19712 22528 25964 28672 39424 45056 45437 51928 71401 78848 90874 103856 142802 157696 181748 207712 285604 315392 363496 415424 499807 571208 726992 830848 999614 1142416 1453984 1661696 1999228 2284832 2907968 3323392 3998456 4569664 5815936 6646784 7996912 9139328 11631872 13293568 15993824 18278656 23263744 26587136 31987648 36557312 46527488 63975296 73114624 93054976 127950592 146229248 186109952 255901184 292458496 511802368 1023604736 2047209472