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21936852409056 = 25313196179191977
BaseRepresentation
bin1001111110011100100100…
…10010111001101011100000
32212200010211221222100211020
410333032102102321223200
510333403133204042211
6114353352331045440
74422612436612164
oct477162222715340
985603757870736
1021936852409056
116a98404324132
1225636135a0880
13c31836c6c180
1455ba6c1d2ca4
15280964116306
hex13f3924b9ae0

21936852409056 has 384 divisors, whose sum is σ = 67187999692800. Its totient is φ = 6210070364160.

The previous prime is 21936852409019. The next prime is 21936852409057. The reversal of 21936852409056 is 65090425863912.

It is a super-2 number, since 2×219368524090562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21936852409057) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 114172140 + ... + 114364116.

It is an arithmetic number, because the mean of its divisors is an integer number (174968749200).

Almost surely, 221936852409056 is an apocalyptic number.

21936852409056 is a gapful number since it is divisible by the number (26) 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 21936852409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593999846400).

21936852409056 is an abundant number, since it is smaller than the sum of its proper divisors (45251147283744).

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

21936852409056 is a wasteful number, since it uses less digits than its factorization.

21936852409056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192162 (or 192154 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 21936852409056 in words is "twenty-one trillion, nine hundred thirty-six billion, eight hundred fifty-two million, four hundred nine thousand, fifty-six".