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27081411840 = 283257418191
BaseRepresentation
bin11001001110001011…
…011000110100000000
32120220100110021002100
4121032023120310000
5420430320134330
620235132350400
71646050126320
oct311613306400
976810407070
1027081411840
11105378295aa
1252b9615400
132727816762
14144c995280
15a877b7060
hex64e2d8d00

27081411840 has 432 divisors, whose sum is σ = 109709623296. Its totient is φ = 6038323200.

The previous prime is 27081411827. The next prime is 27081411937. The reversal of 27081411840 is 4811418072.

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 = 27081411795 and 27081411804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302145 + ... + 3310335.

Almost surely, 227081411840 is an apocalyptic number.

27081411840 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 27081411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54854811648).

27081411840 is an abundant number, since it is smaller than the sum of its proper divisors (82628211456).

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

27081411840 is a wasteful number, since it uses less digits than its factorization.

27081411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 27081411840 in words is "twenty-seven billion, eighty-one million, four hundred eleven thousand, eight hundred forty".