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27055074640 = 2451130744403
BaseRepresentation
bin11001001100100110…
…111010110101010000
32120211111220012020111
4121030212322311100
5420402044342030
620232352051104
71645310224426
oct311446726520
976744805214
1027055074640
1110523980020
1252b0833a94
132722224a09
14144929b116
15a8531362a
hex64c9bad50

27055074640 has 40 divisors (see below), whose sum is σ = 68621509728. Its totient is φ = 9838208640.

The previous prime is 27055074637. The next prime is 27055074679. The reversal of 27055074640 is 4647055072.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×270550746402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 27055074593 and 27055074602.

It is a congruent number.

It is an unprimeable number.

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, 15371322 + ... + 15373081.

Almost surely, 227055074640 is an apocalyptic number.

27055074640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27055074640 is an abundant number, since it is smaller than the sum of its proper divisors (41566435088).

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

27055074640 is a wasteful number, since it uses less digits than its factorization.

27055074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30744427 (or 30744421 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 27055074640 in words is "twenty-seven billion, fifty-five million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 30744403 61488806 122977612 153722015 245955224 307444030 338188433 491910448 614888060 676376866 1229776120 1352753732 1690942165 2459552240 2705507464 3381884330 5411014928 6763768660 13527537320 27055074640