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4380216680 = 235719823349
BaseRepresentation
bin1000001010001010…
…01100110101101000
3102022021011001200102
410011011030311220
532432313413210
62002351124532
7213355141010
oct40505146550
912267131612
104380216680
111948577694
12a22b13748
1354a6273b8
142d7a48c40
151a982bea5
hex10514cd68

4380216680 has 64 divisors (see below), whose sum is σ = 11856240000. Its totient is φ = 1422745344.

The previous prime is 4380216679. The next prime is 4380216683. The reversal of 4380216680 is 866120834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (4380216683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 406355 + ... + 416994.

It is an arithmetic number, because the mean of its divisors is an integer number (185253750).

Almost surely, 24380216680 is an apocalyptic number.

4380216680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4380216680 is an abundant number, since it is smaller than the sum of its proper divisors (7476023320).

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

4380216680 is a wasteful number, since it uses less digits than its factorization.

4380216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823386 (or 823382 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 4380216680 is about 66183.2054225239. The cubic root of 4380216680 is about 1636.1829580797.

The spelling of 4380216680 in words is "four billion, three hundred eighty million, two hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 823349 1646698 3293396 4116745 5763443 6586792 8233490 11526886 15643631 16466980 23053772 28817215 31287262 32933960 46107544 57634430 62574524 78218155 109505417 115268860 125149048 156436310 219010834 230537720 312872620 438021668 547527085 625745240 876043336 1095054170 2190108340 4380216680