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27880690000 = 24542788069
BaseRepresentation
bin11001111101110100…
…011001000101010000
32122222001102210121011
4121331310121011100
5424044424040000
620450323540304
72004623645332
oct317564310520
978861383534
1027880690000
1110907a17069
1254a122a694
1328242a5c07
1414c6bb3452
15ad2a4a2ba
hex67dd19150

27880690000 has 50 divisors (see below), whose sum is σ = 67501962770. Its totient is φ = 11152272000.

The previous prime is 27880689983. The next prime is 27880690001. The reversal of 27880690000 is 9608872.

It can be written as a sum of positive squares in 5 ways, for example, as 3716609296 + 24164080704 = 60964^2 + 155448^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×278806900002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27880690001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1384035 + ... + 1404034.

Almost surely, 227880690000 is an apocalyptic number.

27880690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27880690000 is an abundant number, since it is smaller than the sum of its proper divisors (39621272770).

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

27880690000 is an equidigital number, since it uses as much as digits as its factorization.

27880690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788097 (or 2788076 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 27880690000 in words is "twenty-seven billion, eight hundred eighty million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2788069 5576138 11152276 13940345 22304552 27880690 44609104 55761380 69701725 111522760 139403450 223045520 278806900 348508625 557613800 697017250 1115227600 1394034500 1742543125 2788069000 3485086250 5576138000 6970172500 13940345000 27880690000