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35750000000 = 27591113
BaseRepresentation
bin100001010010110111…
…011011010110000000
310102021110221011112002
4201102313123112000
51041204000000000
624231234323132
72403626662151
oct412267332600
9112243834462
1035750000000
1114185a41150
126b187294a8
1334a971b470
141a31d7b928
15de382c8d5
hex852ddb580

35750000000 has 320 divisors, whose sum is σ = 104589833040. Its totient is φ = 12000000000.

The previous prime is 35749999981. The next prime is 35750000003. The reversal of 35750000000 is 5753.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35750000003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2749999994 + ... + 2750000006.

Almost surely, 235750000000 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 35750000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52294916520).

35750000000 is an abundant number, since it is smaller than the sum of its proper divisors (68839833040).

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

35750000000 is an frugal number, since it uses more digits than its factorization.

35750000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 20.

Adding to 35750000000 its reverse (5753), we get a palindrome (35750005753).

The spelling of 35750000000 in words is "thirty-five billion, seven hundred fifty million", and thus it is an aban number.