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531054869472 = 253219414750363
BaseRepresentation
bin1111011101001010101…
…01100011101111100000
31212202202010102112111100
413232211111203233200
532200100021310342
61043544020514400
753240014624401
oct7564525435740
91782663375440
10531054869472
111952456a1586
1286b0924ba00
133b102c2199a
141b9bb7bd9a8
15dc3217ae4c
hex7ba5563be0

531054869472 has 288 divisors, whose sum is σ = 1663124037120. Its totient is φ = 160126986240.

The previous prime is 531054869459. The next prime is 531054869483. The reversal of 531054869472 is 274968450135.

It is a happy number.

531054869472 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 5 + 486 + 94 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10519363 + ... + 10569725.

It is an arithmetic number, because the mean of its divisors is an integer number (5774736240).

It is a 1-persistent number, because it is pandigital, but 2⋅531054869472 = 1062109738944 is not.

Almost surely, 2531054869472 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 531054869472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831562018560).

531054869472 is an abundant number, since it is smaller than the sum of its proper divisors (1132069167648).

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

531054869472 is a wasteful number, since it uses less digits than its factorization.

531054869472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50486 (or 50475 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 531054869472 in words is "five hundred thirty-one billion, fifty-four million, eight hundred sixty-nine thousand, four hundred seventy-two".