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9530856141408 = 253372415490833
BaseRepresentation
bin1000101010110001001101…
…0010110111001001100000
31020202010210202021221012000
42022230103102313021200
52222123143133011113
632134225340004000
72002403333343600
oct212542322671140
936663722257160
109530856141408
113045016906338
12109b188530600
135419a98812b4
1424d41dd34c00
15117dbd1a0373
hex8ab134b7260

9530856141408 has 288 divisors, whose sum is σ = 33125542621920. Its totient is φ = 2656684154880.

The previous prime is 9530856141397. The next prime is 9530856141409. The reversal of 9530856141408 is 8041416580359.

It is a happy number.

9530856141408 is a `hidden beast` number, since 9 + 5 + 3 + 0 + 8 + 5 + 614 + 14 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9530856141409) 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 47 ways as a sum of consecutive naturals, for example, 1009641 + ... + 4481192.

It is an arithmetic number, because the mean of its divisors is an integer number (115019245215).

Almost surely, 29530856141408 is an apocalyptic number.

9530856141408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9530856141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562771310960).

9530856141408 is an abundant number, since it is smaller than the sum of its proper divisors (23594686480512).

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

9530856141408 is a wasteful number, since it uses less digits than its factorization.

9530856141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490907 (or 5490886 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 9530856141408 in words is "nine trillion, five hundred thirty billion, eight hundred fifty-six million, one hundred forty-one thousand, four hundred eight".