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5420556288 = 213357389
BaseRepresentation
bin1010000110001011…
…10010000000000000
3111222202201210100000
411003011302000000
542100130300123
62253513200000
7251216653050
oct50305620000
914882653300
105420556288
112331843194
121073400000
13685019874
14395c97560
1521ad2ab43
hex143172000

5420556288 has 336 divisors, whose sum is σ = 18605845440. Its totient is φ = 1544749056.

The previous prime is 5420556287. The next prime is 5420556313. The reversal of 5420556288 is 8826550245.

It is a happy number.

5420556288 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 5 + 562 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (5420556283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934398 + ... + 13934786.

It is an arithmetic number, because the mean of its divisors is an integer number (55374540).

Almost surely, 25420556288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302922720).

5420556288 is an abundant number, since it is smaller than the sum of its proper divisors (13185289152).

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

5420556288 is an frugal number, since it uses more digits than its factorization.

5420556288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5420556288 is about 73624.4272507434. The cubic root of 5420556288 is about 1756.6340074286.

The spelling of 5420556288 in words is "five billion, four hundred twenty million, five hundred fifty-six thousand, two hundred eighty-eight".