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27550031040 = 263457151841
BaseRepresentation
bin11001101010000111…
…000001110011000000
32122010000020120210000
4121222013001303000
5422410301443130
620353432440000
71663500254130
oct315207016300
978100216700
1027550031040
11107583020a4
12540a549000
1327a093221c
141494cdcac0
15ab39d2260
hex66a1c1cc0

27550031040 has 280 divisors, whose sum is σ = 112001088672. Its totient is φ = 6297108480.

The previous prime is 27550031011. The next prime is 27550031063. The reversal of 27550031040 is 4013005572.

It is a happy number.

27550031040 is a `hidden beast` number, since 2 + 7 + 550 + 0 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27550030995 and 27550031013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105520 + ... + 257360.

Almost surely, 227550031040 is an apocalyptic number.

27550031040 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 27550031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56000544336).

27550031040 is an abundant number, since it is smaller than the sum of its proper divisors (84451057632).

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

27550031040 is a wasteful number, since it uses less digits than its factorization.

27550031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151877 (or 151858 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 27550031040 in words is "twenty-seven billion, five hundred fifty million, thirty-one thousand, forty".