Search a number
-
+
504595454441 = 132811297106501
BaseRepresentation
bin1110101011111000011…
…10111001100111101001
31210020110010100222121212
413111330032321213221
531231402414020231
61023450303442505
751312226410611
oct7257416714751
91706403328555
10504595454441
11184aa7a85431
1281963bb6435
13387772360a0
141a5cb699a41
15d1d42c942b
hex757c3b99e9

504595454441 has 16 divisors (see below), whose sum is σ = 545769925008. Its totient is φ = 463760640000.

The previous prime is 504595454431. The next prime is 504595454449. The reversal of 504595454441 is 144454595405.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 163778852416 + 340816602025 = 404696^2 + 583795^2 .

It is a cyclic number.

It is not a de Polignac number, because 504595454441 - 234 = 487415585257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 504595454441.

It is not an unprimeable number, because it can be changed into a prime (504595454449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4684691 + ... + 4791191.

It is an arithmetic number, because the mean of its divisors is an integer number (34110620313).

Almost surely, 2504595454441 is an apocalyptic number.

It is an amenable number.

504595454441 is a deficient number, since it is larger than the sum of its proper divisors (41174470567).

504595454441 is a wasteful number, since it uses less digits than its factorization.

504595454441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108092.

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 504595454441 in words is "five hundred four billion, five hundred ninety-five million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 13 281 1297 3653 16861 106501 364457 1384513 4737941 29926781 138131797 389048153 1795713361 38815034957 504595454441