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217145430580 = 225131276576179
BaseRepresentation
bin1100101000111011100…
…0000101001000110100
3202202111020102210122211
43022032320011020310
512024203212234310
6243431044103204
721455031464041
oct3121670051064
9682436383584
10217145430580
11840aaa30a41
1236101694b04
13176274a1680
14a71d21a1c8
1559ad7c6c8a
hex328ee05234

217145430580 has 48 divisors (see below), whose sum is σ = 494949611520. Its totient is φ = 79545449088.

The previous prime is 217145430563. The next prime is 217145430613. The reversal of 217145430580 is 85034541712.

It is a super-3 number, since 3×2171454305803 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255070 + ... + 3321109.

It is an arithmetic number, because the mean of its divisors is an integer number (10311450240).

Almost surely, 2217145430580 is an apocalyptic number.

217145430580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217145430580 is an abundant number, since it is smaller than the sum of its proper divisors (277804180940).

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

217145430580 is a wasteful number, since it uses less digits than its factorization.

217145430580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576328 (or 6576326 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 217145430580 in words is "two hundred seventeen billion, one hundred forty-five million, four hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 16510 33020 6576179 13152358 26304716 32880895 65761790 85490327 131523580 170980654 341961308 427451635 835174733 854903270 1670349466 1709806540 3340698932 4175873665 8351747330 10857271529 16703494660 21714543058 43429086116 54286357645 108572715290 217145430580