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399890053398528 = 2163471121931151
BaseRepresentation
bin101101011101100101010100…
…0100101010000000000000000
31221102220010010101100001210000
41122323022220211100000000
5404403244312132223103
63534254542053440000
7150142050211142610
oct13273125045200000
91842803111301700
10399890053398528
11106465468038700
1238a25455940000
1314219616129114
1470a6ad35a4a40
1531370d0a82aa3
hex16bb2a8950000

399890053398528 has 4080 divisors, whose sum is σ = 1641561557278720. Its totient is φ = 94595973120000.

The previous prime is 399890053398527. The next prime is 399890053398581. The reversal of 399890053398528 is 825893350098993.

399890053398528 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 9 + 0 + 0 + 53 + 39 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399890053398523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2648278499253 + ... + 2648278499403.

Almost surely, 2399890053398528 is an apocalyptic number.

399890053398528 is a gapful number since it is divisible by the number (38) 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 399890053398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820780778639360).

399890053398528 is an abundant number, since it is smaller than the sum of its proper divisors (1241671503880192).

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

399890053398528 is a wasteful number, since it uses less digits than its factorization.

399890053398528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4534963200, while the sum is 81.

The spelling of 399890053398528 in words is "three hundred ninety-nine trillion, eight hundred ninety billion, fifty-three million, three hundred ninety-eight thousand, five hundred twenty-eight".