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4451099904 = 28331933893
BaseRepresentation
bin1000010010100111…
…00110010100000000
3102111012112022012000
410021103212110000
533103440144104
62013402304000
7215205503436
oct41123462400
912435468160
104451099904
111984591269
12a427b8000
1355c214c34
1430321ad56
151b0b7e639
hex1094e6500

4451099904 has 144 divisors (see below), whose sum is σ = 13855867200. Its totient is φ = 1405569024.

The previous prime is 4451099903. The next prime is 4451099929. The reversal of 4451099904 is 4099901544.

4451099904 is a `hidden beast` number, since 44 + 510 + 9 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4451099904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4451099903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114382 + ... + 148274.

It is an arithmetic number, because the mean of its divisors is an integer number (96221300).

Almost surely, 24451099904 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 4451099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927933600).

4451099904 is an abundant number, since it is smaller than the sum of its proper divisors (9404767296).

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

4451099904 is a wasteful number, since it uses less digits than its factorization.

4451099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33937 (or 33917 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4451099904 is about 66716.5639402990. The cubic root of 4451099904 is about 1644.9616623087.

The spelling of 4451099904 in words is "four billion, four hundred fifty-one million, ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 33893 43776 65664 67786 101679 131328 135572 203358 271144 305037 406716 542288 610074 643967 813432 915111 1084576 1220148 1287934 1626864 1830222 1931901 2169152 2440296 2575868 3253728 3660444 3863802 4338304 4880592 5151736 5795703 6507456 7320888 7727604 8676608 9761184 10303472 11591406 13014912 14641776 15455208 17387109 19522368 20606944 23182812 26029824 29283552 30910416 34774218 39044736 41213888 46365624 58567104 61820832 69548436 78089472 82427776 92731248 117134208 123641664 139096872 164855552 185462496 234268416 247283328 278193744 370924992 494566656 556387488 741849984 1112774976 1483699968 2225549952 4451099904