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18882986240 = 285412411493
BaseRepresentation
bin10001100101100000…
…111000000100000000
31210201222200002102202
4101211200320010000
5302133021024430
612401423532332
71235636510006
oct214540700400
953658602382
1018882986240
11800aa54058
1237aba5a0a8
131a1c14ab51
14cb1bd8a76
15757b73d45
hex465838100

18882986240 has 144 divisors (see below), whose sum is σ = 46557259056. Its totient is φ = 7333478400.

The previous prime is 18882986233. The next prime is 18882986257. The reversal of 18882986240 is 4268928881.

It can be written as a sum of positive squares in 8 ways, for example, as 2027776 + 18880958464 = 1424^2 + 137408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12646934 + ... + 12648426.

It is an arithmetic number, because the mean of its divisors is an integer number (323314299).

Almost surely, 218882986240 is an apocalyptic number.

18882986240 is a gapful number since it is divisible by the number (10) 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 18882986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278629528).

18882986240 is an abundant number, since it is smaller than the sum of its proper divisors (27674272816).

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

18882986240 is a wasteful number, since it uses less digits than its factorization.

18882986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 56.

The spelling of 18882986240 in words is "eighteen billion, eight hundred eighty-two million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 241 256 320 328 410 482 640 656 820 964 1205 1280 1312 1493 1640 1928 2410 2624 2986 3280 3856 4820 5248 5972 6560 7465 7712 9640 9881 10496 11944 13120 14930 15424 19280 19762 23888 26240 29860 30848 38560 39524 47776 49405 52480 59720 61213 61696 77120 79048 95552 98810 119440 122426 154240 158096 191104 197620 238880 244852 306065 308480 316192 359813 382208 395240 477760 489704 612130 632384 719626 790480 955520 979408 1224260 1264768 1439252 1580960 1799065 1911040 1958816 2448520 2529536 2878504 3161920 3598130 3917632 4897040 5757008 6323840 7196260 7835264 9794080 11514016 12647680 14392520 14752333 15670528 19588160 23028032 28785040 29504666 39176320 46056064 57570080 59009332 73761665 78352640 92112128 115140160 118018664 147523330 230280320 236037328 295046660 460560640 472074656 590093320 944149312 1180186640 1888298624 2360373280 3776597248 4720746560 9441493120 18882986240