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4382099712 = 28328232311
BaseRepresentation
bin1000001010011000…
…11000100100000000
3102022101200201201100
410011030120210000
532433304142322
62002455334400
7213410142624
oct40514304400
912271621640
104382099712
111949643411
12a23681400
1354ab36513
142d7db9184
151a9a9edac
hex105318900

4382099712 has 108 divisors (see below), whose sum is σ = 12655499584. Its totient is φ = 1458293760.

The previous prime is 4382099693. The next prime is 4382099719. The reversal of 4382099712 is 2179902834.

4382099712 is a `hidden beast` number, since 438 + 209 + 9 + 7 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382099719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1895037 + ... + 1897347.

Almost surely, 24382099712 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 4382099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327749792).

4382099712 is an abundant number, since it is smaller than the sum of its proper divisors (8273399872).

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

4382099712 is a wasteful number, since it uses less digits than its factorization.

4382099712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4382099712 is about 66197.4297990488. The cubic root of 4382099712 is about 1636.4173866250.

The spelling of 4382099712 in words is "four billion, three hundred eighty-two million, ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 823 1152 1646 2304 2311 2469 3292 4622 4938 6584 6933 7407 9244 9876 13168 13866 14814 18488 19752 20799 26336 27732 29628 36976 39504 41598 52672 55464 59256 73952 79008 83196 105344 110928 118512 147904 158016 166392 210688 221856 237024 295808 316032 332784 443712 474048 591616 632064 665568 887424 948096 1331136 1774848 1896192 1901953 2662272 3803906 5324544 5705859 7607812 11411718 15215624 17117577 22823436 30431248 34235154 45646872 60862496 68470308 91293744 121724992 136940616 182587488 243449984 273881232 365174976 486899968 547762464 730349952 1095524928 1460699904 2191049856 4382099712