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4683073680 = 243256504269
BaseRepresentation
bin1000101110010001…
…00000100010010000
3110002101000210101100
410113020200202100
534042331324210
62052410304400
7224023320015
oct42710404220
913071023340
104683073680
111a9352262a
12aa8428100
135982b571c
14325d6370c
151c62025c0
hex117220890

4683073680 has 60 divisors (see below), whose sum is σ = 15727324860. Its totient is φ = 1248819456.

The previous prime is 4683073679. The next prime is 4683073699. The reversal of 4683073680 is 863703864.

It can be written as a sum of positive squares in 2 ways, for example, as 1890162576 + 2792911104 = 43476^2 + 52848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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, 3251415 + ... + 3252854.

It is an arithmetic number, because the mean of its divisors is an integer number (262122081).

Almost surely, 24683073680 is an apocalyptic number.

4683073680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4683073680 is an abundant number, since it is smaller than the sum of its proper divisors (11044251180).

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

4683073680 is a wasteful number, since it uses less digits than its factorization.

4683073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504288 (or 6504279 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4683073680 is about 68432.9867826913. The cubic root of 4683073680 is about 1673.0554316286.

The spelling of 4683073680 in words is "four billion, six hundred eighty-three million, seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6504269 13008538 19512807 26017076 32521345 39025614 52034152 58538421 65042690 78051228 97564035 104068304 117076842 130085380 156102456 195128070 234153684 260170760 292692105 312204912 390256140 468307368 520341520 585384210 780512280 936614736 1170768420 1561024560 2341536840 4683073680