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54452400000 = 2735545377
BaseRepresentation
bin110010101101100111…
…011010111110000000
312012112212210112012120
4302231213122332000
51343004303300000
641003131524240
73635244522525
oct625547327600
9165485715176
1054452400000
1121102a62079
12a677bb9680
13519a31b63b
1428c7ba914c
15163a6ce6a0
hexcad9daf80

54452400000 has 192 divisors, whose sum is σ = 180791397360. Its totient is φ = 14520320000.

The previous prime is 54452399999. The next prime is 54452400031. The reversal of 54452400000 is 425445.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1177312 + ... + 1222688.

Almost surely, 254452400000 is an apocalyptic number.

54452400000 is a gapful number since it is divisible by the number (50) 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 54452400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90395698680).

54452400000 is an abundant number, since it is smaller than the sum of its proper divisors (126338997360).

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

54452400000 is an frugal number, since it uses more digits than its factorization.

54452400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45419 (or 45387 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 54452400000 its reverse (425445), we get a palindrome (54452825445).

The spelling of 54452400000 in words is "fifty-four billion, four hundred fifty-two million, four hundred thousand".