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5435524435000 = 2354114312718097
BaseRepresentation
bin100111100011000111010…
…0000001100110000111000
3201020122001001011202220211
41033012032200030300320
51203023423223410000
615321013452400504
71100463235243402
oct117061640146070
921218031152824
105435524435000
111806213926750
12739536176134
1330574c48533a
1414b11b96bb72
15965ccc3d7ba
hex4f18e80cc38

5435524435000 has 320 divisors, whose sum is σ = 14329029242880. Its totient is φ = 1915280640000.

The previous prime is 5435524434997. The next prime is 5435524435021. The reversal of 5435524435000 is 5344255345.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 300345952 + ... + 300364048.

It is an arithmetic number, because the mean of its divisors is an integer number (44778216384).

Almost surely, 25435524435000 is an apocalyptic number.

5435524435000 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 5435524435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164514621440).

5435524435000 is an abundant number, since it is smaller than the sum of its proper divisors (8893504807880).

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

5435524435000 is a wasteful number, since it uses less digits than its factorization.

5435524435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18304 (or 18285 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 5435524435000 in words is "five trillion, four hundred thirty-five billion, five hundred twenty-four million, four hundred thirty-five thousand".