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5563216272 = 243178976603
BaseRepresentation
bin1010010111001011…
…11111000110010000
3112100201011200001010
411023211333012100
542343140410042
62320011010520
7254601362265
oct51345770620
915321150033
105563216272
1123a53217a9
1210b3139a40
136a8748863
143aabd126c
1522860a59c
hex14b97f190

5563216272 has 80 divisors (see below), whose sum is σ = 15388211520. Its totient is φ = 1725689856.

The previous prime is 5563216271. The next prime is 5563216273. The reversal of 5563216272 is 2726123655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5563216271) and next prime (5563216273).

It is a self number, because there is not a number n which added to its sum of digits gives 5563216272.

It is not an unprimeable number, because it can be changed into a prime (5563216271) 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 15 ways as a sum of consecutive naturals, for example, 34323 + ... + 110925.

It is an arithmetic number, because the mean of its divisors is an integer number (192352644).

Almost surely, 25563216272 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 5563216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694105760).

5563216272 is an abundant number, since it is smaller than the sum of its proper divisors (9824995248).

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

5563216272 is a wasteful number, since it uses less digits than its factorization.

5563216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76720 (or 76714 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 5563216272 is about 74586.9711947067. The cubic root of 5563216272 is about 1771.9113140056.

The spelling of 5563216272 in words is "five billion, five hundred sixty-three million, two hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 102 136 178 204 267 272 356 408 534 712 816 1068 1424 1513 2136 3026 4272 4539 6052 9078 12104 18156 24208 36312 72624 76603 153206 229809 306412 459618 612824 919236 1225648 1302251 1838472 2604502 3676944 3906753 5209004 6817667 7813506 10418008 13635334 15627012 20453001 20836016 27270668 31254024 40906002 54541336 62508048 81812004 109082672 115900339 163624008 231800678 327248016 347701017 463601356 695402034 927202712 1390804068 1854405424 2781608136 5563216272