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4679752896 = 26327131937127
BaseRepresentation
bin1000101101110111…
…10101110011000000
3110002010210002010100
410112323311303000
534041004043041
62052211202400
7223653146310
oct42673656300
913063702110
104679752896
111a91664685
12aa72a6400
135976c2070
1432573b440
151c5c986b6
hex116ef5cc0

4679752896 has 672 divisors, whose sum is σ = 17988239360. Its totient is φ = 1128701952.

The previous prime is 4679752879. The next prime is 4679752999. The reversal of 4679752896 is 6982579764.

4679752896 is a `hidden beast` number, since 467 + 97 + 5 + 2 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36848385 + ... + 36848511.

Almost surely, 24679752896 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 4679752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994119680).

4679752896 is an abundant number, since it is smaller than the sum of its proper divisors (13308486464).

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

4679752896 is a wasteful number, since it uses less digits than its factorization.

4679752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 4679752896 is about 68408.7194442346. The cubic root of 4679752896 is about 1672.6598816236.

The spelling of 4679752896 in words is "four billion, six hundred seventy-nine million, seven hundred fifty-two thousand, eight hundred ninety-six".