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27044720640 = 212345717137
BaseRepresentation
bin11001001011111111…
…011011000000000000
32120210210102011020000
4121023333123000000
5420341422030030
620231342120000
71645123222020
oct311377330000
976723364200
1027044720640
11105190489a3
1252a9280000
13272003aca2
141447b63a80
15a8446a860
hex64bfdb000

27044720640 has 1040 divisors, whose sum is σ = 118172146752. Its totient is φ = 5775556608.

The previous prime is 27044720639. The next prime is 27044720671. The reversal of 27044720640 is 4602744072.

It is a happy number.

27044720640 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 4 + 7 + 2 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27044720595 and 27044720604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197406652 + ... + 197406788.

Almost surely, 227044720640 is an apocalyptic number.

27044720640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27044720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59086073376).

27044720640 is an abundant number, since it is smaller than the sum of its proper divisors (91127426112).

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

27044720640 is a wasteful number, since it uses less digits than its factorization.

27044720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 27044720640 in words is "twenty-seven billion, forty-four million, seven hundred twenty thousand, six hundred forty".