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675514831248 = 243317314763131
BaseRepresentation
bin10011101010001111101…
…00100101000110010000
32101120121210022221122000
421311013310211012100
542031423244044443
61234154403114000
766542613216615
oct11650764450620
92346553287560
10675514831248
11240536569a44
12aab04672900
134b9157ac3ca
14249a349450c
15128896cc8d3
hex9d47d25190

675514831248 has 320 divisors, whose sum is σ = 2164387184640. Its totient is φ = 200723097600.

The previous prime is 675514831183. The next prime is 675514831253. The reversal of 675514831248 is 842138415576.

It is a happy number.

675514831248 is a `hidden beast` number, since 6 + 7 + 5 + 514 + 83 + 1 + 2 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 675514831194 and 675514831203.

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, 10668643 + ... + 10731773.

It is an arithmetic number, because the mean of its divisors is an integer number (6763709952).

Almost surely, 2675514831248 is an apocalyptic number.

675514831248 is a gapful number since it is divisible by the number (68) 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 675514831248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082193592320).

675514831248 is an abundant number, since it is smaller than the sum of its proper divisors (1488872353392).

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

675514831248 is a wasteful number, since it uses less digits than its factorization.

675514831248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63243 (or 63231 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 675514831248 in words is "six hundred seventy-five billion, five hundred fourteen million, eight hundred thirty-one thousand, two hundred forty-eight".