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189422587008 = 2732128232
BaseRepresentation
bin1011000001101001110…
…1110100110010000000
3200002221012000102122200
42300122131310302000
511100414140241013
6223004115233200
716454032265154
oct2603235646200
9602835012580
10189422587008
1173374126276
12308652a8800
1314b29b13c15
14924d3b5064
154dd9a5ae73
hex2c1a774c80

189422587008 has 72 divisors (see below), whose sum is σ = 545125737195. Its totient is φ = 63135938304.

The previous prime is 189422586959. The next prime is 189422587027. The reversal of 189422587008 is 800785224981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

189422587008 is a `hidden beast` number, since 18 + 9 + 42 + 2 + 587 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94711293504 + 94711293504 = 307752^2 + 307752^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=307752.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14765685 + ... + 14778507.

Almost surely, 2189422587008 is an apocalyptic number.

189422587008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189422587008 is an abundant number, since it is smaller than the sum of its proper divisors (355703150187).

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

189422587008 is an frugal number, since it uses more digits than its factorization.

189422587008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25666 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 189422587008 in words is "one hundred eighty-nine billion, four hundred twenty-two million, five hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12823 25646 38469 51292 76938 102584 115407 153876 205168 230814 307752 410336 461628 615504 820672 923256 1231008 1641344 1846512 2462016 3693024 4924032 7386048 14772096 164429329 328858658 493287987 657717316 986575974 1315434632 1479863961 1973151948 2630869264 2959727922 3946303896 5261738528 5919455844 7892607792 10523477056 11838911688 15785215584 21046954112 23677823376 31570431168 47355646752 63140862336 94711293504 189422587008