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20655461135040 = 26354313115724329
BaseRepresentation
bin1001011001001001110010…
…11011000111001011000000
32201010122100121020010200120
410230210321123013023000
510201404341022310130
6111532553213020240
74231210403524104
oct454447133071300
981118317203616
1020655461135040
116643a28362226
122397200184680
13b6aa562378c4
14515a3024d904
1525c468c3c910
hex12c9396c72c0

20655461135040 has 448 divisors, whose sum is σ = 68051980085760. Its totient is φ = 5304734023680.

The previous prime is 20655461135011. The next prime is 20655461135063. The reversal of 20655461135040 is 4053116455602.

It is a super-2 number, since 2×206554611350402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20655461134983 and 20655461135001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848993596 + ... + 849017924.

Almost surely, 220655461135040 is an apocalyptic number.

20655461135040 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 20655461135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34025990042880).

20655461135040 is an abundant number, since it is smaller than the sum of its proper divisors (47396518950720).

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

20655461135040 is a wasteful number, since it uses less digits than its factorization.

20655461135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24680 (or 24670 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 20655461135040 in words is "twenty trillion, six hundred fifty-five billion, four hundred sixty-one million, one hundred thirty-five thousand, forty".