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1919232672 = 25372856001
BaseRepresentation
bin111001001100101…
…0010101010100000
311221202101010021120
41302121102222200
512412310421142
6514235452240
765363131350
oct16231225240
94852333246
101919232672
118a53a1a05
124568b7080
13247808946
14142c72b60
15b375b7ec
hex72652aa0

1919232672 has 48 divisors (see below), whose sum is σ = 5757700032. Its totient is φ = 548352000.

The previous prime is 1919232659. The next prime is 1919232709. The reversal of 1919232672 is 2762329191.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427329 + ... + 1428672.

It is an arithmetic number, because the mean of its divisors is an integer number (119952084).

Almost surely, 21919232672 is an apocalyptic number.

1919232672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1919232672 is an abundant number, since it is smaller than the sum of its proper divisors (3838467360).

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

1919232672 is a wasteful number, since it uses less digits than its factorization.

1919232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856021 (or 2856013 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 1919232672 is about 43809.0478326110. The cubic root of 1919232672 is about 1242.7274062566.

The spelling of 1919232672 in words is "one billion, nine hundred nineteen million, two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2856001 5712002 8568003 11424004 17136006 19992007 22848008 34272012 39984014 45696016 59976021 68544024 79968028 91392032 119952042 137088048 159936056 239904084 274176096 319872112 479808168 639744224 959616336 1919232672