Search a number
-
+
27878891040 = 25345721113307
BaseRepresentation
bin11001111101101101…
…100001111000100000
32122221221001101220000
4121331231201320200
5424043444003130
620450221220000
72004602443500
oct317555417040
978857041800
1027878891040
11109069a8520
1254a0701600
132823ac6140
1414c6865a00
15ad27e2260
hex67db61e20

27878891040 has 1440 divisors, whose sum is σ = 134900023104. Its totient is φ = 5329981440.

The previous prime is 27878891003. The next prime is 27878891071. The reversal of 27878891040 is 4019887872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810567 + ... + 90810873.

Almost surely, 227878891040 is an apocalyptic number.

27878891040 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 27878891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67450011552).

27878891040 is an abundant number, since it is smaller than the sum of its proper divisors (107021132064).

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

27878891040 is a wasteful number, since it uses less digits than its factorization.

27878891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27878891040 in words is "twenty-seven billion, eight hundred seventy-eight million, eight hundred ninety-one thousand, forty".