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4316755680 = 25345397839
BaseRepresentation
bin1000000010100110…
…00111011011100000
3102010211201220120000
410001103013123200
532320042140210
61552203020000
7211654550346
oct40123073340
912124656500
104316755680
111915772486
12a0580a600
1353a438003
142cd449996
151a3e93ac0
hex1014c76e0

4316755680 has 240 divisors, whose sum is σ = 15291128160. Its totient is φ = 1146866688.

The previous prime is 4316755661. The next prime is 4316755721. The reversal of 4316755680 is 865576134.

4316755680 is a `hidden beast` number, since 4 + 3 + 16 + 7 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5144701 + ... + 5145539.

It is an arithmetic number, because the mean of its divisors is an integer number (63713034).

Almost surely, 24316755680 is an apocalyptic number.

4316755680 is a gapful number since it is divisible by the number (40) 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 4316755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645564080).

4316755680 is an abundant number, since it is smaller than the sum of its proper divisors (10974372480).

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

4316755680 is a wasteful number, since it uses less digits than its factorization.

4316755680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4316755680 is about 65702.0218866969. The cubic root of 4316755680 is about 1628.2427623260.

The spelling of 4316755680 in words is "four billion, three hundred sixteen million, seven hundred fifty-five thousand, six hundred eighty".