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4109454880 = 255172416269
BaseRepresentation
bin1111010011110001…
…0100111000100000
3101121101122221022121
43310330110320200
531404010024010
61515435514024
7203556535006
oct36474247040
911541587277
104109454880
111819753303
129682b8914
135064c590b
142adac6a76
15190b963da
hexf4f14e20

4109454880 has 96 divisors (see below), whose sum is σ = 10323981360. Its totient is φ = 1540423680.

The previous prime is 4109454871. The next prime is 4109454901. The reversal of 4109454880 is 884549014.

It can be written as a sum of positive squares in 8 ways, for example, as 2524459536 + 1584995344 = 50244^2 + 39812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652386 + ... + 658654.

Almost surely, 24109454880 is an apocalyptic number.

4109454880 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 4109454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161990680).

4109454880 is an abundant number, since it is smaller than the sum of its proper divisors (6214526480).

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

4109454880 is a wasteful number, since it uses less digits than its factorization.

4109454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 4109454880 is about 64105.0300678504. The cubic root of 4109454880 is about 1601.7500226900.

The spelling of 4109454880 in words is "four billion, one hundred nine million, four hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 241 272 340 482 544 680 964 1205 1360 1928 2410 2720 3856 4097 4820 6269 7712 8194 9640 12538 16388 19280 20485 25076 31345 32776 38560 40970 50152 62690 65552 81940 100304 106573 125380 131104 163880 200608 213146 250760 327760 426292 501520 532865 655520 852584 1003040 1065730 1510829 1705168 2131460 3021658 3410336 4262920 6043316 7554145 8525840 12086632 15108290 17051680 24173264 25684093 30216580 48346528 51368186 60433160 102736372 120866320 128420465 205472744 241732640 256840930 410945488 513681860 821890976 1027363720 2054727440 4109454880