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4649892768 = 253217949733
BaseRepresentation
bin1000101010010011…
…11011101110100000
3110000001121000201200
410111021323232200
534010333032033
62045223201200
7223141302453
oct42511735640
913001530650
104649892768
111a7681a294
12a992a6200
13591468951
143217a749a
151c334b013
hex11527bba0

4649892768 has 72 divisors (see below), whose sum is σ = 14000978628. Its totient is φ = 1458788352.

The previous prime is 4649892733. The next prime is 4649892791. The reversal of 4649892768 is 8672989464.

4649892768 is a `hidden beast` number, since 464 + 98 + 9 + 27 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4647421584 + 2471184 = 68172^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469971 + ... + 479762.

Almost surely, 24649892768 is an apocalyptic number.

4649892768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4649892768 is an abundant number, since it is smaller than the sum of its proper divisors (9351085860).

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

4649892768 is a wasteful number, since it uses less digits than its factorization.

4649892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949766 (or 949755 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 4649892768 is about 68190.1222172244. The cubic root of 4649892768 is about 1669.0947043333.

The spelling of 4649892768 in words is "four billion, six hundred forty-nine million, eight hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 949733 1899466 2849199 3798932 5698398 7597864 8547597 11396796 15195728 16145461 17095194 22793592 30391456 32290922 34190388 45587184 48436383 64581844 68380776 91174368 96872766 129163688 136761552 145309149 193745532 258327376 273523104 290618298 387491064 516654752 581236596 774982128 1162473192 1549964256 2324946384 4649892768