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7035000500 = 2253114312
BaseRepresentation
bin1101000110101000…
…11001011010110100
3200011021121001110002
412203110121122310
5103401430004000
63122024250432
7336222342353
oct64324313264
920137531402
107035000500
112a90090000
121444010a18
1388163bcb8
144aa46b99a
152b292e8d5
hex1a35196b4

7035000500 has 180 divisors, whose sum is σ = 17463553380. Its totient is φ = 2475660000.

The previous prime is 7035000499. The next prime is 7035000521. The reversal of 7035000500 is 50005307.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 225120016 + 6809880484 = 15004^2 + 82522^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226935485 + ... + 226935515.

It is an arithmetic number, because the mean of its divisors is an integer number (97019741).

Almost surely, 27035000500 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 7035000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731776690).

7035000500 is an abundant number, since it is smaller than the sum of its proper divisors (10428552880).

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

7035000500 is an equidigital number, since it uses as much as digits as its factorization.

7035000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 49 counting only the distinct ones).

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

The square root of 7035000500 is about 83874.9098360171. The cubic root of 7035000500 is about 1916.1141478187.

Multiplying 7035000500 by its sum of digits (20), we get a square (140700010000 = 3751002).

7035000500 divided by its sum of digits (20) gives a square (351750025 = 187552).

Adding to 7035000500 its reverse (50005307), we get a palindrome (7085005807).

The spelling of 7035000500 in words is "seven billion, thirty-five million, five hundred", and thus it is an aban number.