Search a number
-
+
555256460512 = 251317109720319
BaseRepresentation
bin10000001010001111101…
…11010011010011100000
31222002012202222202010001
420011013313103103200
533044131123214022
61103025320545344
755054526020015
oct10050767232340
91862182882101
10555256460512
111a4534884096
128b742322254
134048bc11560
141cc35ad370c
15e69bbdcb27
hex8147dd34e0

555256460512 has 96 divisors (see below), whose sum is σ = 1257938035200. Its totient is φ = 238984224768.

The previous prime is 555256460509. The next prime is 555256460533. The reversal of 555256460512 is 215064652555.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 410689 + ... + 1131007.

It is an arithmetic number, because the mean of its divisors is an integer number (13103521200).

Almost surely, 2555256460512 is an apocalyptic number.

555256460512 is a gapful number since it is divisible by the number (52) 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 555256460512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628969017600).

555256460512 is an abundant number, since it is smaller than the sum of its proper divisors (702681574688).

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

555256460512 is a wasteful number, since it uses less digits than its factorization.

555256460512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720468 (or 720460 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 46.

The spelling of 555256460512 in words is "five hundred fifty-five billion, two hundred fifty-six million, four hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 109 136 208 218 221 272 416 436 442 544 872 884 1417 1744 1768 1853 2834 3488 3536 3706 5668 7072 7412 11336 14824 22672 24089 29648 45344 48178 59296 96356 192712 385424 720319 770848 1440638 2881276 5762552 9364147 11525104 12245423 18728294 23050208 24490846 37456588 48981692 74913176 78514771 97963384 149826352 157029542 159190499 195926768 299652704 314059084 318380998 391853536 628118168 636761996 1020692023 1256236336 1273523992 1334751107 2041384046 2512472672 2547047984 2669502214 4082768092 5094095968 5339004428 8165536184 10678008856 16331072368 17351764391 21356017712 32662144736 34703528782 42712035424 69407057564 138814115128 277628230256 555256460512