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530610264900 = 223252242812
BaseRepresentation
bin1111011100010101101…
…01100001101101000100
31212201121010211021200100
413232022311201231010
532143142211434100
61043431535244100
753223005556222
oct7561265415504
91781533737610
10530610264900
11195037730591
1286a04379630
133b061a93a61
141b978727b12
15dc08106400
hex7b8ad61b44

530610264900 has 81 divisors (see below), whose sum is σ = 1663236896503. Its totient is φ = 141490243200.

The previous prime is 530610264803. The next prime is 530610264901. The reversal of 530610264900 is 9462016035.

It is a happy number.

The square root of 530610264900 is 728430.

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

530610264900 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 1 + 0 + 2 + 649 + 0 + 0 = 666.

530610264900 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 95358675204 + 435251589696 = 308802^2 + 659736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (530610264901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21840760 + ... + 21865040.

Almost surely, 2530610264900 is an apocalyptic number.

530610264900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

530610264900 is the 728430-th square number.

It is an amenable number.

530610264900 is an abundant number, since it is smaller than the sum of its proper divisors (1132626631603).

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

530610264900 is an equidigital number, since it uses as much as digits as its factorization.

530610264900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48582 (or 24291 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 530610264900 by its sum of digits (36), we get a square (19101969536400 = 43705802).

530610264900 divided by its sum of digits (36) gives a square (14739174025 = 1214052).

The spelling of 530610264900 in words is "five hundred thirty billion, six hundred ten million, two hundred sixty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24281 48562 72843 97124 121405 145686 218529 242810 291372 364215 437058 485620 607025 728430 874116 1092645 1214050 1456860 1821075 2185290 2428100 3642150 4370580 5463225 7284300 10926450 21852900 589566961 1179133922 1768700883 2358267844 2947834805 3537401766 5306102649 5895669610 7074803532 8843504415 10612205298 11791339220 14739174025 17687008830 21224410596 26530513245 29478348050 35374017660 44217522075 53061026490 58956696100 88435044150 106122052980 132652566225 176870088300 265305132450 530610264900