Search a number
-
+
75533727556 = 22726722932
BaseRepresentation
bin100011001011000101…
…0010011011101000100
321012222002000221000001
41012112022103131010
52214143113240211
654411045531044
75312540043100
oct1062612233504
9235862027001
1075533727556
112a040902531
1212780113a84
137179a39b61
14392792c900
151e71343ac1
hex1196293744

75533727556 has 81 divisors (see below), whose sum is σ = 156628906749. Its totient is φ = 31779605088.

The previous prime is 75533727551. The next prime is 75533727557. The reversal of 75533727556 is 65572733557.

The square root of 75533727556 is 274834.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71465328900 + 4068398656 = 267330^2 + 63784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75533727497 and 75533727506.

It is not an unprimeable number, because it can be changed into a prime (75533727551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 257794146 + ... + 257794438.

Almost surely, 275533727556 is an apocalyptic number.

75533727556 is the 274834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75533727556

75533727556 is an abundant number, since it is smaller than the sum of its proper divisors (81095179193).

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

75533727556 is an equidigital number, since it uses as much as digits as its factorization.

75533727556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its digits is 23152500, while the sum is 55.

The spelling of 75533727556 in words is "seventy-five billion, five hundred thirty-three million, seven hundred twenty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 293 469 586 938 1172 1876 2051 3283 4102 4489 6566 8204 8978 13132 14357 17956 19631 28714 31423 39262 57428 62846 78524 85849 125692 137417 171698 219961 274834 343396 439922 549668 600943 879844 961919 1201886 1315277 1923838 2403772 2630554 3847676 4206601 5261108 5751883 8413202 9206939 11503766 16826404 18413878 23007532 36827756 40263181 64448573 80526362 128897146 161052724 257794292 281842267 385376161 563684534 770752322 1127369068 1541504644 2697633127 5395266254 10790532508 18883431889 37766863778 75533727556