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18504641904 = 24372317313841
BaseRepresentation
bin10001001110111101…
…100110110101110000
31202202121202012120120
4101032331212311300
5300344142020104
612300110410240
71223363601210
oct211675466560
952677665516
1018504641904
11793642a391
123705200980
13198b94c468
14c77870240
1573483bcd9
hex44ef66d70

18504641904 has 160 divisors (see below), whose sum is σ = 57341758464. Its totient is φ = 5027573760.

The previous prime is 18504641879. The next prime is 18504641921. The reversal of 18504641904 is 40914640581.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330024 + ... + 1343864.

Almost surely, 218504641904 is an apocalyptic number.

18504641904 is a gapful number since it is divisible by the number (14) 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 18504641904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670879232).

18504641904 is an abundant number, since it is smaller than the sum of its proper divisors (38837116560).

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

18504641904 is a wasteful number, since it uses less digits than its factorization.

18504641904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 18504641904 in words is "eighteen billion, five hundred four million, six hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 173 184 276 322 336 346 368 483 519 552 644 692 966 1038 1104 1211 1288 1384 1932 2076 2422 2576 2768 3633 3864 3979 4152 4844 7266 7728 7958 8304 9688 11937 13841 14532 15916 19376 23874 27682 27853 29064 31832 41523 47748 55364 55706 58128 63664 83046 83559 95496 96887 110728 111412 166092 167118 190992 193774 221456 222824 290661 318343 332184 334236 387548 445648 581322 636686 664368 668472 775096 955029 1162644 1273372 1336944 1550192 1910058 2228401 2325288 2394493 2546744 3820116 4456802 4650576 4788986 5093488 6685203 7183479 7640232 8913604 9577972 13370406 14366958 15280464 16761451 17827208 19155944 26740812 28733916 33522902 35654416 38311888 50284353 53481624 55073339 57467832 67045804 100568706 106963248 110146678 114935664 134091608 165220017 201137412 220293356 268183216 330440034 385513373 402274824 440586712 660880068 771026746 804549648 881173424 1156540119 1321760136 1542053492 2313080238 2643520272 3084106984 4626160476 6168213968 9252320952 18504641904