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675252252576 = 253311411732909
BaseRepresentation
bin10011101001110000010…
…10111010111110100000
32101112221111020120102000
421310320022322332200
542030404034040301
61234112343124000
766533244305256
oct11647012727640
92345844216360
10675252252576
11240411324780
12aaa50743600
134b8a3284505
142497a6625d6
1512871611786
hex9d382bafa0

675252252576 has 192 divisors, whose sum is σ = 2200934332800. Its totient is φ = 199631001600.

The previous prime is 675252252553. The next prime is 675252252607.

675252252576 is a `hidden beast` number, since 6 + 7 + 5 + 25 + 22 + 525 + 76 = 666.

675252252576 is nontrivially palindromic in base 10.

675252252576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 476791 + ... + 1256118.

It is an arithmetic number, because the mean of its divisors is an integer number (11463199650).

Almost surely, 2675252252576 is an apocalyptic number.

675252252576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

675252252576 is an abundant number, since it is smaller than the sum of its proper divisors (1525682080224).

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

675252252576 is a wasteful number, since it uses less digits than its factorization.

675252252576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732980 (or 1732966 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 675252252576 in words is "six hundred seventy-five billion, two hundred fifty-two million, two hundred fifty-two thousand, five hundred seventy-six".