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505840323870 = 23457103186531
BaseRepresentation
bin1110101110001100110…
…11101100110100011110
31210100122212210220110000
413113012123230310132
531241430110330440
61024214013355130
751355123544550
oct7270633546436
91710585726400
10505840323870
11185586748242
1282050a98aa6
133891510a60b
141a6a8b494d0
15d258729730
hex75c66ecd1e

505840323870 has 160 divisors (see below), whose sum is σ = 1555981042176. Its totient is φ = 115507166400.

The previous prime is 505840323847. The next prime is 505840323871. The reversal of 505840323870 is 78323048505.

505840323870 is a `hidden beast` number, since 5 + 0 + 5 + 8 + 403 + 238 + 7 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505840323871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5802505 + ... + 5889035.

Almost surely, 2505840323870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505840323870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777990521088).

505840323870 is an abundant number, since it is smaller than the sum of its proper divisors (1050140718306).

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

505840323870 is a wasteful number, since it uses less digits than its factorization.

505840323870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87588 (or 87579 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 505840323870 in words is "five hundred five billion, eight hundred forty million, three hundred twenty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1031 1134 1890 2062 2835 3093 5155 5670 6186 7217 9279 10310 14434 15465 18558 21651 27837 30930 36085 43302 46395 55674 64953 72170 83511 86531 92790 108255 129906 139185 167022 173062 194859 216510 259593 278370 324765 389718 417555 432655 519186 584577 605717 649530 778779 835110 865310 974295 1169154 1211434 1297965 1557558 1817151 1948590 2336337 2595930 2922885 3028585 3634302 3893895 4672674 5451453 5845770 6057170 7009011 7787790 9085755 10902906 11681685 14018022 16354359 18171510 23363370 27257265 32708718 35045055 49063077 54514530 70090110 81771795 89213461 98126154 163543590 178426922 245315385 267640383 446067305 490630770 535280766 624494227 802921149 892134610 1248988454 1338201915 1605842298 1873482681 2408763447 2676403830 3122471135 3746965362 4014605745 4817526894 5620448043 6244942270 7226290341 8029211490 9367413405 11240896086 12043817235 14452580682 16861344129 18734826810 24087634470 28102240215 33722688258 36131451705 50584032387 56204480430 72262903410 84306720645 101168064774 168613441290 252920161935 505840323870