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5505430931100 = 22345217293374091
BaseRepresentation
bin101000000011101010101…
…0000010100011010011100
3201111022110221120201120000
41100013111100110122130
51210200110304243400
615413054323254300
71105516465535052
oct120072520243234
921438427521500
105505430931100
111832927263971
1274aba581a390
1330c210421c29
1415066dda41d2
159832002e600
hex501d541469c

5505430931100 has 720 divisors, whose sum is σ = 19610613902880. Its totient is φ = 1329824563200.

The previous prime is 5505430931089. The next prime is 5505430931149. The reversal of 5505430931100 is 11390345055.

It is a happy number.

5505430931100 is a `hidden beast` number, since 5 + 5 + 0 + 543 + 0 + 9 + 3 + 1 + 100 = 666.

It is a super-2 number, since 2×55054309311002 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1345740055 + ... + 1345744145.

It is an arithmetic number, because the mean of its divisors is an integer number (27236963754).

Almost surely, 25505430931100 is an apocalyptic number.

5505430931100 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 5505430931100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9805306951440).

5505430931100 is an abundant number, since it is smaller than the sum of its proper divisors (14105182971780).

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

5505430931100 is a wasteful number, since it uses less digits than its factorization.

5505430931100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 5505430931100 in words is "five trillion, five hundred five billion, four hundred thirty million, nine hundred thirty-one thousand, one hundred".