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21197426245632 = 2143271319294761
BaseRepresentation
bin1001101000111011010010…
…00011111100000000000000
32210001110021002012100101100
410310131221003330000000
510234244312104330012
6113025544014134400
74315314661124610
oct464355103740000
983043232170340
1021197426245632
1168328615553aa
1224642531b1400
13ba9ba75b7960
14533d64a16a40
1526b5d8b278dc
hex1347690fc000

21197426245632 has 2880 divisors, whose sum is σ = 85188747571200. Its totient is φ = 4922812661760.

The previous prime is 21197426245609. The next prime is 21197426245649. The reversal of 21197426245632 is 23654262479112.

21197426245632 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 7 + 4 + 2 + 624 + 5 + 6 + 3 + 2 = 666.

21197426245632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8709120) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347498790882 + ... + 347498790942.

It is an arithmetic number, because the mean of its divisors is an integer number (29579426240).

Almost surely, 221197426245632 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 21197426245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42594373785600).

21197426245632 is an abundant number, since it is smaller than the sum of its proper divisors (63991321325568).

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

21197426245632 is a wasteful number, since it uses less digits than its factorization.

21197426245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 21197426245632 in words is "twenty-one trillion, one hundred ninety-seven billion, four hundred twenty-six million, two hundred forty-five thousand, six hundred thirty-two".