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5277606016 = 2753898741
BaseRepresentation
bin1001110101001000…
…11110000010000000
3111121210202011102111
410322210132002000
541302031343031
62231405225104
7244532624314
oct47244360200
914553664374
105277606016
112269086571
121033562194
136615186c7
14380cc5b44
1520d4e01b1
hex13a91e080

5277606016 has 64 divisors (see below), whose sum is σ = 10833960600. Its totient is φ = 2559631360.

The previous prime is 5277606011. The next prime is 5277606017. The reversal of 5277606016 is 6106067725.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3516964416 + 1760641600 = 59304^2 + 41960^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5277606016.

It is not an unprimeable number, because it can be changed into a prime (5277606011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599406 + ... + 608146.

Almost surely, 25277606016 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 5277606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416980300).

5277606016 is an abundant number, since it is smaller than the sum of its proper divisors (5556354584).

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

5277606016 is an equidigital number, since it uses as much as digits as its factorization.

5277606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 5277606016 is about 72647.1335704307. The cubic root of 5277606016 is about 1741.0543238079.

The spelling of 5277606016 in words is "five billion, two hundred seventy-seven million, six hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 89 106 128 178 212 356 424 712 848 1424 1696 2848 3392 4717 5696 6784 8741 9434 11392 17482 18868 34964 37736 69928 75472 139856 150944 279712 301888 463273 559424 603776 777949 926546 1118848 1555898 1853092 3111796 3706184 6223592 7412368 12447184 14824736 24894368 29649472 41231297 49788736 59298944 82462594 99577472 164925188 329850376 659700752 1319401504 2638803008 5277606016