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3500413056 = 2736723233
BaseRepresentation
bin1101000010100100…
…0001000010000000
3100000221122102000000
43100221001002000
524132101204211
61335202000000
7152513006610
oct32051010200
910027572000
103500413056
11153698a158
12818346000
1343a28263a
14252c68a40
1515748e656
hexd0a41080

3500413056 has 448 divisors, whose sum is σ = 12522107520. Its totient is φ = 952528896.

The previous prime is 3500413051. The next prime is 3500413061. The reversal of 3500413056 is 6503140053.

3500413056 is a `hidden beast` number, since 350 + 0 + 4 + 1 + 305 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3500413051) and next prime (3500413061).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500413051) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15023116 + ... + 15023348.

Almost surely, 23500413056 is an apocalyptic number.

3500413056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261053760).

3500413056 is an abundant number, since it is smaller than the sum of its proper divisors (9021694464).

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

3500413056 is an equidigital number, since it uses as much as digits as its factorization.

3500413056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3500413056 is about 59164.2886883634. The cubic root of 3500413056 is about 1518.3542112691.

The spelling of 3500413056 in words is "three billion, five hundred million, four hundred thirteen thousand, fifty-six".