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21241862433792 = 2103672111331131
BaseRepresentation
bin1001101010001110000011…
…01010100010110000000000
32210012200221220201121000000
410311013001222202300000
510241011313240340132
6113102213224000000
74321450103364600
oct465070152426000
983180856647000
1021241862433792
11684a69462a250
122470994900000
13bb1139760a10
1453617c43cc00
1526c839ce587c
hex1351c1aa2c00

21241862433792 has 3696 divisors, whose sum is σ = 90499473275904. Its totient is φ = 4891041792000.

The previous prime is 21241862433739. The next prime is 21241862433809. The reversal of 21241862433792 is 29733426814212.

21241862433792 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 8 + 624 + 3 + 3 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a super-2 number, since 2×212418624337922 (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 162151621567 + ... + 162151621697.

It is an arithmetic number, because the mean of its divisors is an integer number (24485788224).

Almost surely, 221241862433792 is an apocalyptic number.

21241862433792 is a gapful number since it is divisible by the number (22) 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 21241862433792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45249736637952).

21241862433792 is an abundant number, since it is smaller than the sum of its proper divisors (69257610842112).

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

21241862433792 is a wasteful number, since it uses less digits than its factorization.

21241862433792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 198 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 21241862433792 in words is "twenty-one trillion, two hundred forty-one billion, eight hundred sixty-two million, four hundred thirty-three thousand, seven hundred ninety-two".