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21096341747712 = 211357211314359
BaseRepresentation
bin1001100101111110111111…
…11101001011100000000000
32202200210100022212210200000
410302333133331023200000
510231120301441411322
6112511305310400000
74305106005066600
oct462773775134000
982623308783600
1021096341747712
1167a39a9a32a30
122448742200000
13ba04b81c458a
1452d0d5930c00
15268b6e5ba3ac
hex132fdff4b800

21096341747712 has 3456 divisors, whose sum is σ = 86132151705600. Its totient is φ = 5091699916800.

The previous prime is 21096341747683. The next prime is 21096341747731. The reversal of 21096341747712 is 21774714369012.

21096341747712 is a `hidden beast` number, since 2 + 109 + 63 + 4 + 1 + 7 + 477 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 287 ways as a sum of consecutive naturals, for example, 357565114339 + ... + 357565114397.

It is an arithmetic number, because the mean of its divisors is an integer number (24922497600).

Almost surely, 221096341747712 is an apocalyptic number.

21096341747712 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 21096341747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43066075852800).

21096341747712 is an abundant number, since it is smaller than the sum of its proper divisors (65035809957888).

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

21096341747712 is a wasteful number, since it uses less digits than its factorization.

21096341747712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 21096341747712 in words is "twenty-one trillion, ninety-six billion, three hundred forty-one million, seven hundred forty-seven thousand, seven hundred twelve".