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531730660304340 = 223457238561173713
BaseRepresentation
bin111100011100110110011000…
…1000111111010010111010100
32120201200221202221222001210000
41320321230301013322113110
51024143333343014214330
65122521405413331300
7220000162311410100
oct17071546107722724
92521627687861700
10531730660304340
11144475785608902
124b778b6a336b30
1319a90ca8651a03
149543c89162900
154171804aa0560
hex1e39b311fa5d4

531730660304340 has 360 divisors, whose sum is σ = 1940456392198632. Its totient is φ = 121534585159680.

The previous prime is 531730660304281. The next prime is 531730660304411. The reversal of 531730660304340 is 43403066037135.

531730660304340 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 3 + 0 + 6 + 603 + 0 + 4 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88848231772356 + 442882428531984 = 9425934^2 + 21044772^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3060885324 + ... + 3061059036.

Almost surely, 2531730660304340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531730660304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970228196099316).

531730660304340 is an abundant number, since it is smaller than the sum of its proper divisors (1408725731894292).

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

531730660304340 is a wasteful number, since it uses less digits than its factorization.

531730660304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212309 (or 212291 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 531730660304340 in words is "five hundred thirty-one trillion, seven hundred thirty billion, six hundred sixty million, three hundred four thousand, three hundred forty".