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545034430545 = 351137438592417
BaseRepresentation
bin1111110111001101001…
…01010110100001010001
31221002211101102211010120
413323212211112201101
532412212303234140
61054215123220453
754243314135253
oct7734645264121
91832741384116
10545034430545
111a01697aa740
128976ab17729
133c520225707
141c546295cd3
15e29e5c31d0
hex7ee6956851

545034430545 has 128 divisors (see below), whose sum is σ = 1001344481280. Its totient is φ = 250741370880.

The previous prime is 545034430543. The next prime is 545034430547.

545034430545 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (545034430543) and next prime (545034430547).

It is not a de Polignac number, because 545034430545 - 21 = 545034430543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 545034430497 and 545034430506.

It is not an unprimeable number, because it can be changed into a prime (545034430541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225499177 + ... + 225501593.

It is an arithmetic number, because the mean of its divisors is an integer number (7823003760).

Almost surely, 2545034430545 is an apocalyptic number.

545034430545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545034430545 is a deficient number, since it is larger than the sum of its proper divisors (456310050735).

545034430545 is a wasteful number, since it uses less digits than its factorization.

545034430545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375.

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 545034 and 430545, that added together give a palindrome (975579).

The spelling of 545034430545 in words is "five hundred forty-five billion, thirty-four million, four hundred thirty thousand, five hundred forty-five".

Divisors: 1 3 5 11 15 33 37 43 55 111 129 165 185 215 407 473 555 645 859 1221 1419 1591 2035 2365 2417 2577 4295 4773 6105 7095 7251 7955 9449 12085 12885 17501 23865 26587 28347 31783 36255 36937 47245 52503 79761 87505 89429 95349 103931 110811 132935 141735 158915 184685 262515 268287 311793 349613 398805 406307 447145 476745 519655 554055 983719 1048839 1143241 1218921 1341435 1366669 1558965 1748065 2031535 2076203 2951157 3429723 3845447 4100007 4918595 5244195 5716205 6094605 6228609 6833345 10381015 11536341 14755785 15033359 17148615 19227235 20500035 22838233 31143045 42299917 45100077 57681705 68514699 75166795 76819511 89276729 114191165 126899751 211499585 225500385 230458533 267830187 342573495 384097555 446383645 634498755 845014621 982044019 1152292665 1339150935 2535043863 2946132057 3303238973 4225073105 4910220095 9909716919 12675219315 14730660285 16516194865 36335628703 49548584595 109006886109 181678143515 545034430545