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1630675872 = 25327808867
BaseRepresentation
bin110000100110010…
…0010001110100000
311012122101220202200
41201030202032200
511314423111442
6425451013200
755260342030
oct14114421640
94178356680
101630675872
11767523a11
1239613a200
131ccab6587
141167db8c0
159825d34c
hex613223a0

1630675872 has 72 divisors (see below), whose sum is σ = 5299703136. Its totient is φ = 465906816.

The previous prime is 1630675843. The next prime is 1630675883. The reversal of 1630675872 is 2785760361.

1630675872 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 67 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 402418 + ... + 406449.

It is an arithmetic number, because the mean of its divisors is an integer number (73606988).

Almost surely, 21630675872 is an apocalyptic number.

1630675872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1630675872 is an abundant number, since it is smaller than the sum of its proper divisors (3669027264).

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

1630675872 is a wasteful number, since it uses less digits than its factorization.

1630675872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808890 (or 808879 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1630675872 is about 40381.6279018070. The cubic root of 1630675872 is about 1177.0345609316.

The spelling of 1630675872 in words is "one billion, six hundred thirty million, six hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 808867 1617734 2426601 3235468 4853202 5662069 6470936 7279803 9706404 11324138 12941872 14559606 16986207 19412808 22648276 25883744 29119212 33972414 38825616 45296552 50958621 58238424 67944828 77651232 90593104 101917242 116476848 135889656 181186208 203834484 232953696 271779312 407668968 543558624 815337936 1630675872