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27697101552 = 243364113661
BaseRepresentation
bin11001110010111000…
…000011101011110000
32122111020222112121000
4121302320003223300
5423210424222202
620420205002000
72000234323131
oct316270035360
978436875530
1027697101552
111082332337a
12544b853300
1327c52468b3
1414aa663c88
15ac188391c
hex672e03af0

27697101552 has 40 divisors (see below), whose sum is σ = 79500940880. Its totient is φ = 9232367040.

The previous prime is 27697101533. The next prime is 27697101557. The reversal of 27697101552 is 25510179672.

27697101552 is a `hidden beast` number, since 2 + 7 + 6 + 97 + 1 + 0 + 1 + 552 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27697101498 and 27697101507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27697101557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32056399 + ... + 32057262.

It is an arithmetic number, because the mean of its divisors is an integer number (1987523522).

Almost surely, 227697101552 is an apocalyptic number.

It is an amenable number.

27697101552 is an abundant number, since it is smaller than the sum of its proper divisors (51803839328).

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

27697101552 is a wasteful number, since it uses less digits than its factorization.

27697101552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64113678 (or 64113666 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 27697101552 in words is "twenty-seven billion, six hundred ninety-seven million, one hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 64113661 128227322 192340983 256454644 384681966 512909288 577022949 769363932 1025818576 1154045898 1538727864 1731068847 2308091796 3077455728 3462137694 4616183592 6924275388 9232367184 13848550776 27697101552