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20931589836000 = 2533531271526071
BaseRepresentation
bin1001100001001100000111…
…11110100000110011100000
32202010001002111002112021000
410300212003332200303200
510220420343444223000
6112303501205232000
74260154210666434
oct460460376406340
982101074075230
1020931589836000
116740045860208
122420823102600
13b8aac061c59c
14525146c989c4
1526472a87e000
hex130983fa0ce0

20931589836000 has 384 divisors, whose sum is σ = 76790966353920. Its totient is φ = 5537802816000.

The previous prime is 20931589835957. The next prime is 20931589836007. The reversal of 20931589836000 is 63898513902.

20931589836000 is a `hidden beast` number, since 20 + 9 + 3 + 1 + 5 + 8 + 9 + 8 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20931589836007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12952965 + ... + 14479035.

It is an arithmetic number, because the mean of its divisors is an integer number (199976474880).

Almost surely, 220931589836000 is an apocalyptic number.

20931589836000 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 20931589836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395483176960).

20931589836000 is an abundant number, since it is smaller than the sum of its proper divisors (55859376517920).

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

20931589836000 is a wasteful number, since it uses less digits than its factorization.

20931589836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526232 (or 1526208 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 20931589836000 in words is "twenty trillion, nine hundred thirty-one billion, five hundred eighty-nine million, eight hundred thirty-six thousand".