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545545545545 = 5711131011099901
BaseRepresentation
bin1111111000001010000…
…11000110011101001001
31221011011000012011002202
413330011003012131021
532414234124424140
61054341542205545
754262061424410
oct7740503063511
91834130164082
10545545545545
111a0401268a30
12898921238b5
133c5a209ca20
141c594102477
15e2ce3d4915
hex7f050c6749

545545545545 has 128 divisors (see below), whose sum is σ = 895913948160. Its totient is φ = 307929600000.

The previous prime is 545545545541. The next prime is 545545545577.

545545545545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 545545545545 - 22 = 545545545541 is a prime.

545545545545 is a modest number, since divided by 545545545 gives 545 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (545545545541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55095095 + ... + 55104995.

It is an arithmetic number, because the mean of its divisors is an integer number (6999327720).

Almost surely, 2545545545545 is an apocalyptic number.

545545545545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545545545545 is a deficient number, since it is larger than the sum of its proper divisors (350368402615).

545545545545 is a wasteful number, since it uses less digits than its factorization.

545545545545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147.

The product of its digits is 100000000, while the sum is 56.

The spelling of 545545545545 in words is "five hundred forty-five billion, five hundred forty-five million, five hundred forty-five thousand, five hundred forty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 101 109 143 385 455 505 545 707 715 763 1001 1111 1199 1313 1417 3535 3815 5005 5555 5995 6565 7085 7777 8393 9191 9901 9919 11009 14443 15587 38885 41965 45955 49505 49595 55045 69307 72215 77063 77935 101101 108911 109109 121099 128713 143117 346535 385315 505505 544555 545545 605495 643565 715585 762377 847693 900991 1000001 1001819 1079209 1415843 1574287 3811885 4238465 4504955 5000005 5009095 5396045 7000007 7079215 7554463 7871435 9910901 11000011 11020009 11871299 13000013 14029717 35000035 37772315 49554505 55000055 55100045 59356495 65000065 70148585 77000077 83099093 91000091 98208019 109000109 143000143 154326887 385000385 415495465 455000455 491040095 545000545 715000715 763000763 771634435 1001001001 1080288209 1199001199 1417001417 3815003815 5005005005 5401441045 5995005995 7085007085 8393008393 9919009919 15587015587 41965041965 49595049595 77935077935 109109109109 545545545545