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20285709160 = 235507142729
BaseRepresentation
bin10010111001000111…
…110101101101101000
31221100202010210112111
4102321013311231220
5313021120143120
613152533052104
71315461453133
oct227107655550
957322123474
1020285709160
11866a8325a2
123b21787034
131bb3940b02
14da621921a
157dada575a
hex4b91f5b68

20285709160 has 16 divisors (see below), whose sum is σ = 45642845700. Its totient is φ = 8114283648.

The previous prime is 20285709131. The next prime is 20285709167. The reversal of 20285709160 is 6190758202.

It can be written as a sum of positive squares in 2 ways, for example, as 18882607396 + 1403101764 = 137414^2 + 37458^2 .

It is a super-2 number, since 2×202857091602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 507142729 = 20285709160 / (2 + 0 + 2 + 8 + 5 + 7 + 0 + 9 + 1 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (20285709167) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 253571325 + ... + 253571404.

Almost surely, 220285709160 is an apocalyptic number.

20285709160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20285709160 is an abundant number, since it is smaller than the sum of its proper divisors (25357136540).

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

20285709160 is a wasteful number, since it uses less digits than its factorization.

20285709160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507142740 (or 507142736 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 20285709160 in words is "twenty billion, two hundred eighty-five million, seven hundred nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 507142729 1014285458 2028570916 2535713645 4057141832 5071427290 10142854580 20285709160