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785000000000 = 29510157
BaseRepresentation
bin10110110110001011010…
…01010110101000000000
32210001012222222210022002
423123011221112220000
5100330140000000000
61400342442203132
7110500013622416
oct13330551265000
92701188883262
10785000000000
11282a0a042787
1210817aab34a8
1359043430628
1429dcc1412b6
15156464cc8d5
hexb6c5a56a00

785000000000 has 220 divisors, whose sum is σ = 1973071248654. Its totient is φ = 312000000000.

The previous prime is 784999999967. The next prime is 785000000011. The reversal of 785000000000 is 587.

It can be written as a sum of positive squares in 11 ways, for example, as 98435297536 + 686564702464 = 313744^2 + 828592^2 .

It is a sliding number, since 785000000000 = 160000000000 + 625000000000 and 1/160000000000 + 1/625000000000 = 0.00000000000785000000000.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 21 ways as a sum of consecutive naturals, for example, 4999999922 + ... + 5000000078.

Almost surely, 2785000000000 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 785000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986535624327).

785000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1188071248654).

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

785000000000 is an frugal number, since it uses more digits than its factorization.

785000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 785000000000 its reverse (587), we get a palindrome (785000000587).

The spelling of 785000000000 in words is "seven hundred eighty-five billion", and thus it is an aban number.