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213054250084 = 221324124332
BaseRepresentation
bin1100011001101100000…
…1011101110001100100
3202100221010011022002021
43012123001131301210
511442313342000314
6241513055552524
721251453150104
oct3063301356144
9670833138067
10213054250084
11823a062a535
123535b52b744
1317124a06900
14a451b2d204
15581e540324
hex319b05dc64

213054250084 has 81 divisors (see below), whose sum is σ = 414776692449. Its totient is φ = 95712814080.

The previous prime is 213054250067. The next prime is 213054250093. The reversal of 213054250084 is 480052450312.

The square root of 213054250084 is 461578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 142489640484 + 70564609600 = 377478^2 + 265640^2 .

It is a super-2 number, since 2×2130542500842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 492041932 + ... + 492042364.

Almost surely, 2213054250084 is an apocalyptic number.

213054250084 is the 461578-th square number.

It is an amenable number.

213054250084 is a deficient number, since it is larger than the sum of its proper divisors (201722442365).

213054250084 is an equidigital number, since it uses as much as digits as its factorization.

213054250084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 213054250084 in words is "two hundred thirteen billion, fifty-four million, two hundred fifty thousand, eighty-four".

Divisors: 1 2 4 13 26 41 52 82 164 169 338 433 533 676 866 1066 1681 1732 2132 3362 5629 6724 6929 11258 13858 17753 21853 22516 27716 35506 43706 71012 73177 87412 146354 187489 230789 284089 292708 374978 461578 568178 727873 749956 923156 1136356 1455746 2437357 2911492 3000257 4874714 6000514 7687049 9462349 9749428 12001028 15374098 18924698 30748196 31685641 37849396 63371282 99931637 123010537 126742564 199863274 246021074 315169009 399726548 492042148 630338018 1260676036 1299111281 2598222562 4097197117 5196445124 8194394234 16388788468 53263562521 106527125042 213054250084