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21960019802196 = 22337373376433623
BaseRepresentation
bin1001111111000111101110…
…01011011111100001010100
32212202100122112111212122000
410333203313023133201110
510334243110032132241
6114412143244435300
74424362522322340
oct477436713374124
985670575455560
1021960019802196
116aa7212755533
122567bba248b30
13c33a89909c18
1455cc29016620
1528136ce8deb6
hex13f8f72df854

21960019802196 has 384 divisors, whose sum is σ = 67146344079360. Its totient is φ = 6075457726464.

The previous prime is 21960019802173. The next prime is 21960019802209. The reversal of 21960019802196 is 69120891006912.

21960019802196 is a `hidden beast` number, since 2 + 1 + 9 + 600 + 1 + 9 + 8 + 0 + 21 + 9 + 6 = 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 127 ways as a sum of consecutive naturals, for example, 6061278841 + ... + 6061282463.

It is an arithmetic number, because the mean of its divisors is an integer number (174860271040).

Almost surely, 221960019802196 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 21960019802196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33573172039680).

21960019802196 is an abundant number, since it is smaller than the sum of its proper divisors (45186324277164).

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

21960019802196 is a wasteful number, since it uses less digits than its factorization.

21960019802196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 21960019802196 in words is "twenty-one trillion, nine hundred sixty billion, nineteen million, eight hundred two thousand, one hundred ninety-six".