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625714068672 = 26337115388729
BaseRepresentation
bin10010001101011110111…
…01101111110011000000
32012211002002102002101000
421012233131233303000
540222430300144142
61155241000012000
763130530554160
oct11065735576300
92184062362330
10625714068672
11221400308a20
12a1326461000
134700a0ba864
14223db3c85a0
151142259114c
hex91af76fcc0

625714068672 has 448 divisors, whose sum is σ = 2336679705600. Its totient is φ = 159454863360.

The previous prime is 625714068649. The next prime is 625714068703. The reversal of 625714068672 is 276860417526.

It is a happy number.

625714068672 is a `hidden beast` number, since 6 + 2 + 571 + 4 + 0 + 6 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7007604 + ... + 7096332.

Almost surely, 2625714068672 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 625714068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168339852800).

625714068672 is an abundant number, since it is smaller than the sum of its proper divisors (1710965636928).

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

625714068672 is a wasteful number, since it uses less digits than its factorization.

625714068672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88821 (or 88805 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

It can be divided in two parts, 62571406 and 8672, that added together give a triangular number (62580078 = T11187).

The spelling of 625714068672 in words is "six hundred twenty-five billion, seven hundred fourteen million, sixty-eight thousand, six hundred seventy-two".