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6451980920 = 235731142751
BaseRepresentation
bin1100000001001000…
…10110101001111000
3121122122112120221022
412000210112221320
5101203201342140
62544120202012
7315612635000
oct60044265170
917578476838
106451980920
112810a7a840
121300909308
137ba90a2b8
14452c65000
1527b6680b5
hex180916a78

6451980920 has 128 divisors (see below), whose sum is σ = 18468864000. Its totient is φ = 2010960000.

The previous prime is 6451980911. The next prime is 6451980959. The reversal of 6451980920 is 290891546.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 129545 + ... + 172295.

It is an arithmetic number, because the mean of its divisors is an integer number (144288000).

Almost surely, 26451980920 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 6451980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234432000).

6451980920 is an abundant number, since it is smaller than the sum of its proper divisors (12016883080).

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

6451980920 is a wasteful number, since it uses less digits than its factorization.

6451980920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42794 (or 42776 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 6451980920 is about 80324.2237435258. The cubic root of 6451980920 is about 1861.6485288326.

The spelling of 6451980920 in words is "six billion, four hundred fifty-one million, nine hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 343 385 392 440 490 539 616 686 770 980 1078 1372 1540 1715 1960 2156 2695 2744 3080 3430 3773 4312 5390 6860 7546 10780 13720 15092 18865 21560 30184 37730 42751 75460 85502 150920 171004 213755 299257 342008 427510 470261 598514 855020 940522 1197028 1496285 1710040 1881044 2094799 2351305 2394056 2992570 3291827 3762088 4189598 4702610 5985140 6583654 8379196 9405220 10473995 11970280 13167308 14663593 16459135 16758392 18810440 20947990 23042789 26334616 29327186 32918270 41895980 46085578 58654372 65836540 73317965 83791960 92171156 115213945 117308744 131673080 146635930 161299523 184342312 230427890 293271860 322599046 460855780 586543720 645198092 806497615 921711560 1290396184 1612995230 3225990460 6451980920