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27047048400 = 2432529837643
BaseRepresentation
bin11001001100001000…
…010011010011010000
32120210221210102022100
4121030020103103100
5420343021022100
620231504040400
71645152055341
oct311410232320
976727712270
1027047048400
111051a398869
1252aa003100
132720674668
1414481ac0c8
15a8477a400
hex64c2134d0

27047048400 has 180 divisors, whose sum is σ = 93968548128. Its totient is φ = 7204266240.

The previous prime is 27047048279. The next prime is 27047048429. The reversal of 27047048400 is 484074072.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3534979 + ... + 3542621.

Almost surely, 227047048400 is an apocalyptic number.

27047048400 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 27047048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46984274064).

27047048400 is an abundant number, since it is smaller than the sum of its proper divisors (66921499728).

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

27047048400 is a wasteful number, since it uses less digits than its factorization.

27047048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 27047048400 in words is "twenty-seven billion, forty-seven million, forty-eight thousand, four hundred".