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18072059904 = 2143340853
BaseRepresentation
bin10000110101001011…
…011100000000000000
31201122110202202122000
4100311023130000000
5244002421404104
612145134544000
71206561655203
oct206513340000
951573682560
1018072059904
1177342300a8
123604368000
131920140892
14c3622793a
1570b88e639
hex4352dc000

18072059904 has 120 divisors (see below), whose sum is σ = 53546520720. Its totient is φ = 6023872512.

The previous prime is 18072059851. The next prime is 18072059921. The reversal of 18072059904 is 40995027081.

It is a self number, because there is not a number n which added to its sum of digits gives 18072059904.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 421942 + ... + 462794.

It is an arithmetic number, because the mean of its divisors is an integer number (446221006).

Almost surely, 218072059904 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 18072059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773260360).

18072059904 is an abundant number, since it is smaller than the sum of its proper divisors (35474460816).

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

18072059904 is an frugal number, since it uses more digits than its factorization.

18072059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40890 (or 40858 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18072059904 in words is "eighteen billion, seventy-two million, fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 36864 40853 49152 55296 73728 81706 110592 122559 147456 163412 221184 245118 326824 367677 442368 490236 653648 735354 980472 1103031 1307296 1470708 1960944 2206062 2614592 2941416 3921888 4412124 5229184 5882832 7843776 8824248 10458368 11765664 15687552 17648496 20916736 23531328 31375104 35296992 41833472 47062656 62750208 70593984 83666944 94125312 125500416 141187968 167333888 188250624 251000832 282375936 334667776 376501248 502001664 564751872 669335552 753002496 1004003328 1129503744 1506004992 2008006656 2259007488 3012009984 4518014976 6024019968 9036029952 18072059904