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5427661824 = 210331315101
BaseRepresentation
bin1010000111000001…
…11000110000000000
3112000021002210022000
411003200320300000
542103440134244
62254325344000
7251334235644
oct50340706000
915007083260
105427661824
112335856732
121075868000
13686636b20
14396bc6c24
1521b781169
hex143838c00

5427661824 has 176 divisors, whose sum is σ = 17311724640. Its totient is φ = 1669939200.

The previous prime is 5427661801. The next prime is 5427661907. The reversal of 5427661824 is 4281667245.

5427661824 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 6 + 618 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5427661824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351874 + ... + 366974.

Almost surely, 25427661824 is an apocalyptic number.

5427661824 is a gapful number since it is divisible by the number (54) 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 5427661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655862320).

5427661824 is an abundant number, since it is smaller than the sum of its proper divisors (11884062816).

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

5427661824 is a wasteful number, since it uses less digits than its factorization.

5427661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15143 (or 15119 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5427661824 is about 73672.6667360426. Note that the first 3 decimals coincide. The cubic root of 5427661824 is about 1757.4012334936.

The spelling of 5427661824 in words is "five billion, four hundred twenty-seven million, six hundred sixty-one thousand, eight hundred twenty-four".