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20983385871360 = 2103451122711543
BaseRepresentation
bin1001100010101100100110…
…10000101101010000000000
32202021222210020110202020000
410301112103100231100000
510222242433240340420
6112343345010120000
74263666602015043
oct461262320552000
982258706422200
1020983385871360
11676000531a200
12242a879580000
13b929564c1913
1452785bd4cc5a
15265c5cc47690
hex13159342d400

20983385871360 has 1320 divisors, whose sum is σ = 83008449984768. Its totient is φ = 5064826060800.

The previous prime is 20983385871323. The next prime is 20983385871379. The reversal of 20983385871360 is 6317858338902.

20983385871360 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 3 + 38 + 587 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13599082749 + ... + 13599084291.

Almost surely, 220983385871360 is an apocalyptic number.

20983385871360 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 20983385871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41504224992384).

20983385871360 is an abundant number, since it is smaller than the sum of its proper divisors (62025064113408).

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

20983385871360 is a wasteful number, since it uses less digits than its factorization.

20983385871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 20983385871360 in words is "twenty trillion, nine hundred eighty-three billion, three hundred eighty-five million, eight hundred seventy-one thousand, three hundred sixty".