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21195204484608 = 29347116637307
BaseRepresentation
bin1001101000110111001001…
…01000100101111000000000
32210001020112020120012020000
410310123210220211320000
510234230234322001413
6113024535330120000
74315205632353330
oct464334450457000
983036466505200
1021195204484608
116831921412470
122463933120000
13ba991220746b
14533bd39130c0
1526b508a5d073
hex1346e4a25e00

21195204484608 has 400 divisors, whose sum is σ = 78872246031744. Its totient is φ = 5505247088640.

The previous prime is 21195204484577. The next prime is 21195204484703. The reversal of 21195204484608 is 80648440259112.

21195204484608 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 5 + 20 + 4 + 4 + 8 + 4 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125310 + ... + 6511997.

Almost surely, 221195204484608 is an apocalyptic number.

21195204484608 is a gapful number since it is divisible by the number (28) 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 21195204484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39436123015872).

21195204484608 is an abundant number, since it is smaller than the sum of its proper divisors (57677041547136).

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

21195204484608 is an equidigital number, since it uses as much as digits as its factorization.

21195204484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637355 (or 6637330 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 21195204484608 in words is "twenty-one trillion, one hundred ninety-five billion, two hundred four million, four hundred eighty-four thousand, six hundred eight".