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55303334400 = 293522362617
BaseRepresentation
bin110011100000010101…
…011110101000000000
312021202011222110202110
4303200111132220000
51401230123200100
641223410215320
73665316405036
oct634025365000
9167664873673
1055303334400
11214aa321746
12a874b84540
1352a46c6012
142968bd2556
15168a268250
hexce055ea00

55303334400 has 240 divisors, whose sum is σ = 190637244864. Its totient is φ = 14106132480.

The previous prime is 55303334393. The next prime is 55303334417. The reversal of 55303334400 is 443330355.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851892 + ... + 914508.

Almost surely, 255303334400 is an apocalyptic number.

55303334400 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 55303334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95318622432).

55303334400 is an abundant number, since it is smaller than the sum of its proper divisors (135333910464).

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

55303334400 is a wasteful number, since it uses less digits than its factorization.

55303334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62671 (or 62650 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 55303334400 its reverse (443330355), we get a palindrome (55746664755).

The spelling of 55303334400 in words is "fifty-five billion, three hundred three million, three hundred thirty-four thousand, four hundred".