Search a number
-
+
53559821859840 = 2103452927116433
BaseRepresentation
bin11000010110110010111100…
…01001111111110000000000
321000122021021002000121020000
430023121132021333300000
524010011003344003330
6305525013102120000
714165366213111322
oct1413313611776000
9230567232017200
1053559821859840
111607a658157a4a
126010303b80000
1323b6891c5863a
14d32448685612
1562d331c9c560
hex30b65e27fc00

53559821859840 has 880 divisors, whose sum is σ = 199291100215680. Its totient is φ = 13738392944640.

The previous prime is 53559821859809. The next prime is 53559821859847. The reversal of 53559821859840 is 4895812895535.

53559821859840 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 9 + 8 + 21 + 8 + 598 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53559821859847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3259276264 + ... + 3259292696.

It is an arithmetic number, because the mean of its divisors is an integer number (226467159336).

Almost surely, 253559821859840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53559821859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99645550107840).

53559821859840 is an abundant number, since it is smaller than the sum of its proper divisors (145731278355840).

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

53559821859840 is a wasteful number, since it uses less digits than its factorization.

53559821859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770 (or 16743 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 72.

The spelling of 53559821859840 in words is "fifty-three trillion, five hundred fifty-nine billion, eight hundred twenty-one million, eight hundred fifty-nine thousand, eight hundred forty".