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3485721648 = 24372619201
BaseRepresentation
bin1100111111000011…
…1110010000110000
322222221000000011210
43033300332100300
524114321043043
61333515040120
7152244100533
oct31760762060
98887000153
103485721648
1115296652a2
12813440040
1343720a5b6
14250d22a1a
1515603b633
hexcfc3e430

3485721648 has 20 divisors (see below), whose sum is σ = 9004781048. Its totient is φ = 1161907200.

The previous prime is 3485721607. The next prime is 3485721653. The reversal of 3485721648 is 8461275843.

3485721648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 72619201 = 3485721648 / (3 + 4 + 8 + 5 + 7 + 2 + 1 + 6 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 3485721597 and 3485721606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36309553 + ... + 36309648.

Almost surely, 23485721648 is an apocalyptic number.

It is an amenable number.

3485721648 is an abundant number, since it is smaller than the sum of its proper divisors (5519059400).

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

3485721648 is a wasteful number, since it uses less digits than its factorization.

3485721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72619212 (or 72619206 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 3485721648 is about 59040.0004065041. Note that the first 3 decimals coincide. The cubic root of 3485721648 is about 1516.2270297671.

Subtracting from 3485721648 its sum of digits (48), we obtain a square (3485721600 = 590402).

The spelling of 3485721648 in words is "three billion, four hundred eighty-five million, seven hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 72619201 145238402 217857603 290476804 435715206 580953608 871430412 1161907216 1742860824 3485721648