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21337545436116 = 223713194733716491
BaseRepresentation
bin1001101101000000010001…
…10100001110101111010100
32210112211221020011201201220
410312200020310032233110
510244043243112423431
6113214155534450340
74331405160444210
oct466401064165724
983484836151656
1021337545436116
116887225148078
1224874389639b0
13bba177a7c260
1453aa57dcd940
1527008a03eb96
hex136808d0ebd4

21337545436116 has 384 divisors, whose sum is σ = 65904241213440. Its totient is φ = 5215517683200.

The previous prime is 21337545436079. The next prime is 21337545436133. The reversal of 21337545436116 is 61163454573312.

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, 3287247631 + ... + 3287254121.

It is an arithmetic number, because the mean of its divisors is an integer number (171625628160).

Almost surely, 221337545436116 is an apocalyptic number.

21337545436116 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 21337545436116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32952120606720).

21337545436116 is an abundant number, since it is smaller than the sum of its proper divisors (44566695777324).

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

21337545436116 is a wasteful number, since it uses less digits than its factorization.

21337545436116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9953 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 21337545436116 in words is "twenty-one trillion, three hundred thirty-seven billion, five hundred forty-five million, four hundred thirty-six thousand, one hundred sixteen".