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538952643216 = 24351329231409
BaseRepresentation
bin1111101011111000001…
…01001011001010010000
31220112010112111000100000
413311330011023022100
532312233334040331
61051331425330000
753636514611001
oct7657405131220
91815115430300
10538952643216
11198628797919
1288552196900
133ba91221ba0
141c12a6771a8
15e0456d20e6
hex7d7c14b290

538952643216 has 720 divisors, whose sum is σ = 1805273899520. Its totient is φ = 154569461760.

The previous prime is 538952643199. The next prime is 538952643221. The reversal of 538952643216 is 612346259835.

It is a happy number.

538952643216 is a `hidden beast` number, since 5 + 3 + 89 + 526 + 4 + 32 + 1 + 6 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1317732420 + ... + 1317732828.

Almost surely, 2538952643216 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 538952643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902636949760).

538952643216 is an abundant number, since it is smaller than the sum of its proper divisors (1266321256304).

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

538952643216 is a wasteful number, since it uses less digits than its factorization.

538952643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 538952643216 in words is "five hundred thirty-eight billion, nine hundred fifty-two million, six hundred forty-three thousand, two hundred sixteen".