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2047475712 = 217341127
BaseRepresentation
bin111101000001010…
…0000000000000000
312021200200112122210
41322002200000000
513143123210322
6535100302120
7101511153642
oct17202400000
95250615583
102047475712
11960823897
12491841940
1326825a7b9
14155cd6892
15beb3e70c
hex7a0a0000

2047475712 has 144 divisors (see below), whose sum is σ = 5637123072. Its totient is φ = 660602880.

The previous prime is 2047475707. The next prime is 2047475723. The reversal of 2047475712 is 2175747402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16121793 + ... + 16121919.

It is an arithmetic number, because the mean of its divisors is an integer number (39146688).

Almost surely, 22047475712 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 2047475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818561536).

2047475712 is an abundant number, since it is smaller than the sum of its proper divisors (3589647360).

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

2047475712 is an frugal number, since it uses more digits than its factorization.

2047475712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 39.

The square root of 2047475712 is about 45249.0410064125. The cubic root of 2047475712 is about 1269.8124657475.

The spelling of 2047475712 in words is "two billion, forty-seven million, four hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 127 128 164 192 246 254 256 328 381 384 492 508 512 656 762 768 984 1016 1024 1312 1524 1536 1968 2032 2048 2624 3048 3072 3936 4064 4096 5207 5248 6096 6144 7872 8128 8192 10414 10496 12192 12288 15621 15744 16256 16384 20828 20992 24384 24576 31242 31488 32512 32768 41656 41984 48768 49152 62484 62976 65024 65536 83312 83968 97536 98304 124968 125952 130048 131072 166624 167936 195072 196608 249936 251904 260096 333248 335872 390144 393216 499872 503808 520192 666496 671744 780288 999744 1007616 1040384 1332992 1343488 1560576 1999488 2015232 2080768 2665984 2686976 3121152 3998976 4030464 4161536 5331968 5373952 6242304 7997952 8060928 8323072 10663936 12484608 15995904 16121856 16646144 21327872 24969216 31991808 42655744 49938432 63983616 85311488 127967232 170622976 255934464 341245952 511868928 682491904 1023737856 2047475712