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530242673664 = 21031137424091
BaseRepresentation
bin1111011011101001110…
…11010001110000000000
31212200122112010201022010
413231310323101300000
532141414111024124
61043331244412520
753210623234524
oct7556473216000
91780575121263
10530242673664
11194969190880
1286921247140
133b00388b952
141b94199bd84
15dbd5be5529
hex7b74ed1c00

530242673664 has 176 divisors, whose sum is σ = 1583444174976. Its totient is φ = 156336537600.

The previous prime is 530242673663. The next prime is 530242673671. The reversal of 530242673664 is 466376242035.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530242673663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038259 + ... + 1462349.

Almost surely, 2530242673664 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 530242673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791722087488).

530242673664 is an abundant number, since it is smaller than the sum of its proper divisors (1053201501312).

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

530242673664 is a wasteful number, since it uses less digits than its factorization.

530242673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424162 (or 424144 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 530242673664 in words is "five hundred thirty billion, two hundred forty-two million, six hundred seventy-three thousand, six hundred sixty-four".