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807925534416 = 2432711132431153
BaseRepresentation
bin10111100000111000001…
…11010100111011010000
32212020101201102121022100
423300130013110323100
5101214112414100131
61415053400040400
7112241101506240
oct13603407247320
92766351377270
10807925534416
112917039a1040
121106b8763100
135b257c49500
142b164ba7b20
1516038ecd7e6
hexbc1c1d4ed0

807925534416 has 360 divisors, whose sum is σ = 3052528929216. Its totient is φ = 193707970560.

The previous prime is 807925534397. The next prime is 807925534439. The reversal of 807925534416 is 614435529708.

It is a happy number.

807925534416 is a `hidden beast` number, since 8 + 0 + 7 + 92 + 5 + 534 + 4 + 16 = 666.

It is a super-2 number, since 2×8079255344162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1658296 + ... + 2089448.

It is a 1-persistent number, because it is pandigital, but 2⋅807925534416 = 1615851068832 is not.

Almost surely, 2807925534416 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 807925534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526264464608).

807925534416 is an abundant number, since it is smaller than the sum of its proper divisors (2244603394800).

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

807925534416 is a wasteful number, since it uses less digits than its factorization.

807925534416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431211 (or 431189 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 807925 and 534416, that added together give a triangular number (1342341 = T1638).

The spelling of 807925534416 in words is "eight hundred seven billion, nine hundred twenty-five million, five hundred thirty-four thousand, four hundred sixteen".