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90395800480 = 255564973753
BaseRepresentation
bin101010000110000000…
…0100111001110100000
322122022211122110022101
41110030000213032200
52440112311103410
6105305515420144
76350043424546
oct1241400471640
9278284573271
1090395800480
1135378088927
1215629454654
1386a7b2324b
1445376cbd96
152540eb0d3a
hex150c0273a0

90395800480 has 24 divisors (see below), whose sum is σ = 213560079012. Its totient is φ = 36158320128.

The previous prime is 90395800447. The next prime is 90395800483. The reversal of 90395800480 is 8400859309.

It can be written as a sum of positive squares in 2 ways, for example, as 87860073744 + 2535726736 = 296412^2 + 50356^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90395800480.

It is not an unprimeable number, because it can be changed into a prime (90395800483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282486717 + ... + 282487036.

Almost surely, 290395800480 is an apocalyptic number.

It is an amenable number.

90395800480 is an abundant number, since it is smaller than the sum of its proper divisors (123164278532).

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

90395800480 is a wasteful number, since it uses less digits than its factorization.

90395800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564973768 (or 564973760 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 90395800480 in words is "ninety billion, three hundred ninety-five million, eight hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 564973753 1129947506 2259895012 2824868765 4519790024 5649737530 9039580048 11299475060 18079160096 22598950120 45197900240 90395800480