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154314243240552 = 23329722095395653
BaseRepresentation
bin100011000101100100010101…
…101001101111001001101000
3202020101022000221021002222200
4203011210111221233021220
5130211241032232144202
61304110552405220200
744334556542220623
oct4305442551571150
9666338027232880
10154314243240552
114519533738860a
1215383173a01660
136814a032b8c25
142a16bc63b0dba
1512c9103227e1c
hex8c5915a6f268

154314243240552 has 48 divisors (see below), whose sum is σ = 422243010947940. Its totient is φ = 50907791582208.

The previous prime is 154314243240527. The next prime is 154314243240643. The reversal of 154314243240552 is 255042342413451.

154314243240552 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 1 + 4 + 24 + 32 + 40 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154128401203716 + 185842036836 = 12414846^2 + 431094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 154314243240498 and 154314243240507.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11047690843 + ... + 11047704810.

Almost surely, 2154314243240552 is an apocalyptic number.

154314243240552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

154314243240552 is an abundant number, since it is smaller than the sum of its proper divisors (267928767707388).

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

154314243240552 is a wasteful number, since it uses less digits than its factorization.

154314243240552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22095395762 (or 22095395755 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 154314243240552 in words is "one hundred fifty-four trillion, three hundred fourteen billion, two hundred forty-three million, two hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 22095395653 44190791306 66286186959 88381582612 132572373918 176763165224 198858560877 265144747836 397717121754 530289495672 795434243508 1590868487016 2143253378341 4286506756682 6429760135023 8573013513364 12859520270046 17146027026728 19289280405069 25719040540092 38578560810138 51438081080184 77157121620276 154314243240552