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20947610206080 = 273451967331601
BaseRepresentation
bin1001100001101001111101…
…10111010111111110000000
32202011120102222020122120000
410300310332313113332000
510221201201203043310
6112315111013320000
74261262210616645
oct460647667277600
982146388218500
1020947610206080
116746916949388
122423954336000
13b8c4746884cc
14525c2680ddcc
15264d6704a4c0
hex130d3edd7f80

20947610206080 has 640 divisors, whose sum is σ = 78864446944800. Its totient is φ = 5283997286400.

The previous prime is 20947610206009. The next prime is 20947610206163. The reversal of 20947610206080 is 8060201674902.

It is a happy number.

20947610206080 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 7 + 6 + 10 + 20 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 662862280 + ... + 662893880.

Almost surely, 220947610206080 is an apocalyptic number.

20947610206080 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 20947610206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432223472400).

20947610206080 is an abundant number, since it is smaller than the sum of its proper divisors (57916836738720).

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

20947610206080 is a wasteful number, since it uses less digits than its factorization.

20947610206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32324 (or 32303 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20947610206080 in words is "twenty trillion, nine hundred forty-seven billion, six hundred ten million, two hundred six thousand, eighty".