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2104407984 = 243741173883
BaseRepresentation
bin111110101101110…
…1011011110110000
312102122211000001110
41331123223132300
513302212023414
6544452433320
7103102113150
oct17533533660
95378730043
102104407984
1198a979958
124a8918840
13276ca2333
1415d6b6760
15c4b38459
hex7d6eb7b0

2104407984 has 160 divisors (see below), whose sum is σ = 6408589824. Its totient is φ = 582543360.

The previous prime is 2104407971. The next prime is 2104408001. The reversal of 2104407984 is 4897044012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382807 + ... + 2383689.

Almost surely, 22104407984 is an apocalyptic number.

2104407984 is a gapful number since it is divisible by the number (24) 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 2104407984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204294912).

2104407984 is an abundant number, since it is smaller than the sum of its proper divisors (4304181840).

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

2104407984 is a wasteful number, since it uses less digits than its factorization.

2104407984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2104407984 is about 45873.8267860879. The cubic root of 2104407984 is about 1281.4745344375.

The spelling of 2104407984 in words is "two billion, one hundred four million, four hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 173 246 287 328 336 346 492 519 574 656 692 861 883 984 1038 1148 1211 1384 1722 1766 1968 2076 2296 2422 2649 2768 3444 3532 3633 4152 4592 4844 5298 6181 6888 7064 7093 7266 8304 9688 10596 12362 13776 14128 14186 14532 18543 19376 21192 21279 24724 28372 29064 36203 37086 42384 42558 49448 49651 56744 58128 72406 74172 85116 98896 99302 108609 113488 144812 148344 148953 152759 170232 198604 217218 253421 289624 296688 297906 305518 340464 397208 434436 458277 506842 579248 595812 611036 760263 794416 868872 916554 1013684 1069313 1191624 1222072 1520526 1737744 1833108 2027368 2138626 2383248 2444144 3041052 3207939 3666216 4054736 4277252 6082104 6263119 6415878 7332432 8554504 12164208 12526238 12831756 17109008 18789357 25052476 25663512 37578714 43841833 50104952 51327024 75157428 87683666 100209904 131525499 150314856 175367332 263050998 300629712 350734664 526101996 701469328 1052203992 2104407984