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575405142420 = 2235194344326497
BaseRepresentation
bin10000101111110001101…
…00011011000110010100
32001000012222021211121010
420113320310123012110
533411412204024140
61120200521052220
756400035003613
oct10277064330624
92030188254533
10575405142420
11202034225019
1293626027070
1342350346144
141dbc7a3d87a
15ee7aa27880
hex85f8d1b194

575405142420 has 192 divisors, whose sum is σ = 1739354158080. Its totient is φ = 141659062272.

The previous prime is 575405142419. The next prime is 575405142443. The reversal of 575405142420 is 24241504575.

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 63 ways as a sum of consecutive naturals, for example, 21702612 + ... + 21729108.

It is an arithmetic number, because the mean of its divisors is an integer number (9059136240).

Almost surely, 2575405142420 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 575405142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869677079040).

575405142420 is an abundant number, since it is smaller than the sum of its proper divisors (1163949015660).

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

575405142420 is a wasteful number, since it uses less digits than its factorization.

575405142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014 (or 27012 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 39.

Adding to 575405142420 its reverse (24241504575), we get a palindrome (599646646995).

The spelling of 575405142420 in words is "five hundred seventy-five billion, four hundred five million, one hundred forty-two thousand, four hundred twenty".