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469652109708672 = 273211200111852091
BaseRepresentation
bin110101011001001010110011…
…1001010101100110110000000
32021120220022012000220222210200
41222302111213022230312000
5443024240010041134142
64342511111202125200
7200632150045621302
oct15262254712546600
92246808160828720
10469652109708672
11126711383141860
1244811885350800
131720a008793067
1483d93d78d3972
153946ae0e0464c
hex1ab25672acd80

469652109708672 has 192 divisors, whose sum is σ = 1474408509837120. Its totient is φ = 142311632256000.

The previous prime is 469652109708659. The next prime is 469652109708697. The reversal of 469652109708672 is 276807901256964.

469652109708672 is a `hidden beast` number, since 4 + 6 + 9 + 6 + 521 + 0 + 97 + 0 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 469652109708672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252653347 + ... + 254505437.

It is an arithmetic number, because the mean of its divisors is an integer number (7679210988735).

Almost surely, 2469652109708672 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 469652109708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737204254918560).

469652109708672 is an abundant number, since it is smaller than the sum of its proper divisors (1004756400128448).

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

469652109708672 is a wasteful number, since it uses less digits than its factorization.

469652109708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872133 (or 1872118 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 469652109708672 in words is "four hundred sixty-nine trillion, six hundred fifty-two billion, one hundred nine million, seven hundred eight thousand, six hundred seventy-two".