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1390526032896 = 2103272111361353
BaseRepresentation
bin10100001111000001110…
…011110110110000000000
311220221012011001101211100
4110033001303312300000
5140240244131023041
62542444314414400
7202314350155500
oct24170163666000
94827164041740
101390526032896
1149679a770610
121a55b0431400
13a1183bb7b90
144b432297a00
152628655d6b6
hex143c1cf6c00

1390526032896 has 1584 divisors, whose sum is σ = 5592941591328. Its totient is φ = 326998425600.

The previous prime is 1390526032859. The next prime is 1390526032997. The reversal of 1390526032896 is 6982306250931.

1390526032896 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 5 + 2 + 603 + 28 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×13905260328962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3939167056 + ... + 3939167408.

Almost surely, 21390526032896 is an apocalyptic number.

1390526032896 is a gapful number since it is divisible by the number (16) 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 1390526032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796470795664).

1390526032896 is an abundant number, since it is smaller than the sum of its proper divisors (4202415558432).

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

1390526032896 is a wasteful number, since it uses less digits than its factorization.

1390526032896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1390526032896 in words is "one trillion, three hundred ninety billion, five hundred twenty-six million, thirty-two thousand, eight hundred ninety-six".