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530172361440 = 2532531671031721
BaseRepresentation
bin1111011011100001011…
…11000011101011100000
31212200110121211111001200
413231300233003223200
532141243111031230
61043320253401200
753206110500601
oct7556057035340
91780417744050
10530172361440
111949325271a7
1286901799200
133acc2140c97
141b9364d7da8
15dbce957160
hex7b70bc3ae0

530172361440 has 576 divisors, whose sum is σ = 1914963628032. Its totient is φ = 133390540800.

The previous prime is 530172361399. The next prime is 530172361493. The reversal of 530172361440 is 44163271035.

530172361440 is a `hidden beast` number, since 5 + 3 + 0 + 17 + 23 + 614 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 530172361395 and 530172361404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308059780 + ... + 308061500.

It is an arithmetic number, because the mean of its divisors is an integer number (3324589632).

Almost surely, 2530172361440 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 530172361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957481814016).

530172361440 is an abundant number, since it is smaller than the sum of its proper divisors (1384791266592).

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

530172361440 is a wasteful number, since it uses less digits than its factorization.

530172361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 530172361440 in words is "five hundred thirty billion, one hundred seventy-two million, three hundred sixty-one thousand, four hundred forty".