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27078296344 = 23111019073359
BaseRepresentation
bin11001001101111111…
…100000001100011000
32120220010120222102121
4121031333200030120
5420424020440334
620234541511024
71646011502251
oct311577401430
976803528377
1027078296344
1110535aa0910
1252b8572474
132726c95678
14144c3c3b28
15a8739ddb4
hex64dfe0318

27078296344 has 64 divisors (see below), whose sum is σ = 56014156800. Its totient is φ = 12169392000.

The previous prime is 27078296327. The next prime is 27078296387. The reversal of 27078296344 is 44369287072.

It is a junction number, because it is equal to n+sod(n) for n = 27078296291 and 27078296300.

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 15 ways as a sum of consecutive naturals, for example, 8059737 + ... + 8063095.

It is an arithmetic number, because the mean of its divisors is an integer number (875221200).

Almost surely, 227078296344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27078296344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28007078400).

27078296344 is an abundant number, since it is smaller than the sum of its proper divisors (28935860456).

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

27078296344 is a wasteful number, since it uses less digits than its factorization.

27078296344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 27078296344 in words is "twenty-seven billion, seventy-eight million, two hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 907 1111 1814 2222 3359 3628 4444 6718 7256 8888 9977 13436 19954 26872 36949 39908 73898 79816 91607 147796 183214 295592 339259 366428 678518 732856 1007677 1357036 2015354 2714072 3046613 3731849 4030708 6093226 7463698 8061416 12186452 14927396 24372904 29854792 33512743 67025486 134050972 268101944 307707913 615415826 1230831652 2461663304 3384787043 6769574086 13539148172 27078296344