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4529671965 = 3257213295449
BaseRepresentation
bin1000011011111110…
…10100111100011101
3102200200101011210100
410031333110330131
533234044000330
62025250331313
7220151401500
oct41577247435
912620334710
104529671965
111a14977655
12a64b89b39
13572595390
1430d831137
151b7a00060
hex10dfd4f1d

4529671965 has 144 divisors (see below), whose sum is σ = 10176894000. Its totient is φ = 1845172224.

The previous prime is 4529671961. The next prime is 4529671997. The reversal of 4529671965 is 5691769254.

It can be written as a sum of positive squares in 8 ways, for example, as 977750361 + 3551921604 = 31269^2 + 59598^2 .

It is not a de Polignac number, because 4529671965 - 22 = 4529671961 is a prime.

It is a super-2 number, since 2×45296719652 = 41035856221013922450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4529671961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 828561 + ... + 834009.

It is an arithmetic number, because the mean of its divisors is an integer number (70672875).

Almost surely, 24529671965 is an apocalyptic number.

4529671965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4529671965 is an abundant number, since it is smaller than the sum of its proper divisors (5647222035).

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

4529671965 is a wasteful number, since it uses less digits than its factorization.

4529671965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5506 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 4529671965 is about 67302.8377187768. The cubic root of 4529671965 is about 1654.5843694227.

The spelling of 4529671965 in words is "four billion, five hundred twenty-nine million, six hundred seventy-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 29 35 39 45 49 63 65 87 91 105 117 145 147 195 203 245 261 273 315 377 435 441 455 585 609 637 735 819 1015 1131 1305 1365 1421 1827 1885 1911 2205 2639 3045 3185 3393 4095 4263 5449 5655 5733 7105 7917 9135 9555 12789 13195 16347 16965 18473 21315 23751 27245 28665 38143 39585 49041 55419 63945 70837 81735 92365 114429 118755 158021 166257 190715 212511 245205 267001 277095 343287 354185 474063 495859 572145 637533 790105 801003 831285 1062555 1106147 1335005 1422189 1487577 1716435 2054273 2370315 2403009 2479295 3187665 3318441 3471013 4005015 4462731 5530735 6162819 7110945 7437885 7743029 9955323 10271365 10413039 12015045 14379911 16592205 17355065 18488457 22313655 23229087 30814095 31239117 38715145 43139733 49776615 52065195 69687261 71899555 92442285 100659377 116145435 129419199 156195585 215698665 301978131 348436305 503296885 647095995 905934393 1509890655 4529671965