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21374866697520 = 24357192927910079
BaseRepresentation
bin1001101110000101110010…
…10101100010110100110000
32210200102021012201020200210
410313002321111202310300
510300201211333310040
6113243251142544120
74334166060103410
oct467027125426460
983612235636623
1021374866697520
1168a1037011166
122492713738040
13bc0844b8069b
1453c798900640
15271021791480
hex1370b9562d30

21374866697520 has 960 divisors, whose sum is σ = 83610648576000. Its totient is φ = 4411931037696.

The previous prime is 21374866697423. The next prime is 21374866697531. The reversal of 21374866697520 is 2579666847312.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2120727841 + ... + 2120737919.

It is an arithmetic number, because the mean of its divisors is an integer number (87094425600).

It is a 1-persistent number, because it is pandigital, but 2⋅21374866697520 = 42749733395040 is not.

Almost surely, 221374866697520 is an apocalyptic number.

21374866697520 is a gapful number since it is divisible by the number (20) 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 21374866697520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41805324288000).

21374866697520 is an abundant number, since it is smaller than the sum of its proper divisors (62235781878480).

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

21374866697520 is a wasteful number, since it uses less digits than its factorization.

21374866697520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 21374866697520 in words is "twenty-one trillion, three hundred seventy-four billion, eight hundred sixty-six million, six hundred ninety-seven thousand, five hundred twenty".