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530072659152 = 24321719139163503
BaseRepresentation
bin1111011011010101100…
…10101110010011010000
31212200012200020002020100
413231222302232103100
532141042100043102
61043302332412400
753203460155431
oct7555262562320
91780180202210
10530072659152
11194891219413
1286894317100
133aca75a2b4a
141b927183488
15dbc5d10a1c
hex7b6acae4d0

530072659152 has 480 divisors, whose sum is σ = 1678842547200. Its totient is φ = 155142770688.

The previous prime is 530072659139. The next prime is 530072659157. The reversal of 530072659152 is 251956270035.

530072659152 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 7 + 2 + 6 + 591 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 530072659098 and 530072659107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530072659157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053822133 + ... + 1053822635.

It is an arithmetic number, because the mean of its divisors is an integer number (3497588640).

Almost surely, 2530072659152 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 530072659152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839421273600).

530072659152 is an abundant number, since it is smaller than the sum of its proper divisors (1148769888048).

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

530072659152 is a wasteful number, since it uses less digits than its factorization.

530072659152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 530072659152 in words is "five hundred thirty billion, seventy-two million, six hundred fifty-nine thousand, one hundred fifty-two".