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520532404100 = 225261180147381
BaseRepresentation
bin1111001001100100010…
…01100010011110000100
31211202120210112220121122
413210302021202132010
532012022243412400
61035043531533112
752415164300652
oct7446211423604
91752523486548
10520532404100
11190835a76605
1284a712ba198
133a116c14b07
141b2a00d7dd2
15d8184b8685
hex7932262784

520532404100 has 72 divisors (see below), whose sum is σ = 1148734325256. Its totient is φ = 204681600000.

The previous prime is 520532404037. The next prime is 520532404141. The reversal of 520532404100 is 1404235025.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 272626002496 + 247906401604 = 522136^2 + 497902^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 520532404100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10962410 + ... + 11009790.

Almost surely, 2520532404100 is an apocalyptic number.

520532404100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520532404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574367162628).

520532404100 is an abundant number, since it is smaller than the sum of its proper divisors (628201921156).

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

520532404100 is a wasteful number, since it uses less digits than its factorization.

520532404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49257 (or 49250 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 520532404100 its reverse (1404235025), we get a palindrome (521936639125).

The spelling of 520532404100 in words is "five hundred twenty billion, five hundred thirty-two million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 1801 3050 3602 6100 7204 9005 18010 36020 45025 47381 90050 94762 109861 180100 189524 219722 236905 439444 473810 549305 947620 1098610 1184525 2197220 2369050 2746525 2890241 4738100 5493050 5780482 10986100 11560964 14451205 28902410 57804820 72256025 85333181 144512050 170666362 289024100 341332724 426665905 853331810 1706663620 2133329525 4266659050 5205324041 8533318100 10410648082 20821296164 26026620205 52053240410 104106480820 130133101025 260266202050 520532404100