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20031454050624 = 26321921014612069
BaseRepresentation
bin1001000110111111011111…
…01100111111100101000000
32121220222200110210211111200
410203133233230333211000
510111143404214104444
6110334153431341200
74135140051031242
oct443375754774500
977828613724450
1020031454050624
1164233236578a5
1222b6291521800
13b23c5b9a0603
144d3755848092
1524b0e647e969
hex1237efb3f940

20031454050624 has 504 divisors, whose sum is σ = 61359885667080. Its totient is φ = 6246484992000.

The previous prime is 20031454050599. The next prime is 20031454050631. The reversal of 20031454050624 is 42605045413002.

20031454050624 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 1 + 4 + 540 + 50 + 62 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3106194753600 + 16925259297024 = 1762440^2 + 4114032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9681707062 + ... + 9681709130.

It is an arithmetic number, because the mean of its divisors is an integer number (121745804895).

Almost surely, 220031454050624 is an apocalyptic number.

20031454050624 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 20031454050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30679942833540).

20031454050624 is an abundant number, since it is smaller than the sum of its proper divisors (41328431616456).

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

20031454050624 is a wasteful number, since it uses less digits than its factorization.

20031454050624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20031454050624 its reverse (42605045413002), we get a palindrome (62636499463626).

The spelling of 20031454050624 in words is "twenty trillion, thirty-one billion, four hundred fifty-four million, fifty thousand, six hundred twenty-four".