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532860049152 = 2833236774951
BaseRepresentation
bin1111100000100001110…
…11110001011100000000
31212221101221012011111000
413300100323301130000
532212244133033102
61044443104052000
753332524454044
oct7602073613400
91787357164430
10532860049152
11195a91673812
1287331904000
133b32cc06542
141bb0d444024
15dcda8a901c
hex7c10ef1700

532860049152 has 288 divisors, whose sum is σ = 1647033615360. Its totient is φ = 169612185600.

The previous prime is 532860049097. The next prime is 532860049199. The reversal of 532860049152 is 251940068235.

532860049152 is a `hidden beast` number, since 5 + 3 + 28 + 600 + 4 + 9 + 15 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 532860049098 and 532860049107.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 107624277 + ... + 107629227.

It is an arithmetic number, because the mean of its divisors is an integer number (5718866720).

Almost surely, 2532860049152 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 532860049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823516807680).

532860049152 is an abundant number, since it is smaller than the sum of its proper divisors (1114173566208).

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

532860049152 is a wasteful number, since it uses less digits than its factorization.

532860049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 532860049152 in words is "five hundred thirty-two billion, eight hundred sixty million, forty-nine thousand, one hundred fifty-two".