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4685361408 = 28347132191
BaseRepresentation
bin1000101110100010…
…01111000100000000
3110002112100000120000
410113101033010000
534043423031113
62052531320000
7224051625540
oct42721170400
913075300500
104685361408
111a94845412
12aa9150000
13598906b00
1432639b320
151c6505373
hex11744f100

4685361408 has 540 divisors, whose sum is σ = 17379952128. Its totient is φ = 1229230080.

The previous prime is 4685361407. The next prime is 4685361413. The reversal of 4685361408 is 8041635864.

It is a super-2 number, since 2×46853614082 = 43905223047151484928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4685361407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24530593 + ... + 24530783.

Almost surely, 24685361408 is an apocalyptic number.

4685361408 is a gapful number since it is divisible by the number (48) 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 4685361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689976064).

4685361408 is an abundant number, since it is smaller than the sum of its proper divisors (12694590720).

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

4685361408 is a wasteful number, since it uses less digits than its factorization.

4685361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4685361408 is about 68449.6998386406. The cubic root of 4685361408 is about 1673.3278220094.

The spelling of 4685361408 in words is "four billion, six hundred eighty-five million, three hundred sixty-one thousand, four hundred eight".