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20021436465624 = 233311523109314741
BaseRepresentation
bin1001000110101100110101…
…00110111100000111011000
32121220000211022221210022000
410203112122212330013120
510111012400213344444
6110325415420001000
74134333600666126
oct443263246740730
977800738853260
1020021436465624
11641a052a21a30
1222b4356690160
13b23023467019
144d3085228916
1524ac0bc9b469
hex12359a9bc1d8

20021436465624 has 256 divisors, whose sum is σ = 60846767654400. Its totient is φ = 6049550707200.

The previous prime is 20021436465623. The next prime is 20021436465637. The reversal of 20021436465624 is 42656463412002.

It is a happy number.

20021436465624 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 43 + 6 + 46 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20021436465624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021436465623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358206894 + ... + 1358221634.

It is an arithmetic number, because the mean of its divisors is an integer number (237682686150).

Almost surely, 220021436465624 is an apocalyptic number.

20021436465624 is a gapful number since it is divisible by the number (24) 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 20021436465624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423383827200).

20021436465624 is an abundant number, since it is smaller than the sum of its proper divisors (40825331188776).

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

20021436465624 is a wasteful number, since it uses less digits than its factorization.

20021436465624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16383 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 20021436465624 its reverse (42656463412002), we get a palindrome (62677899877626).

The spelling of 20021436465624 in words is "twenty trillion, twenty-one billion, four hundred thirty-six million, four hundred sixty-five thousand, six hundred twenty-four".