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18802307198208 = 2831011013239287
BaseRepresentation
bin1000100011001110000001…
…10101110110110100000000
32110120111001010011012121210
410101213000311312310000
54431024111120320313
6103553354412450120
73650264462130132
oct421470065666400
973514033135553
1018802307198208
115a9a017269126
12213801a779940
13a650859c1691
14490072317052
152291579de9c3
hex1119c0d76d00

18802307198208 has 144 divisors (see below), whose sum is σ = 50587118015616. Its totient is φ = 6199230259200.

The previous prime is 18802307198197. The next prime is 18802307198231. The reversal of 18802307198208 is 80289170320881.

It is a super-2 number, since 2×188023071982082 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 78456741 + ... + 78696027.

It is an arithmetic number, because the mean of its divisors is an integer number (351299430664).

Almost surely, 218802307198208 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 18802307198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293559007808).

18802307198208 is an abundant number, since it is smaller than the sum of its proper divisors (31784810817408).

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

18802307198208 is a wasteful number, since it uses less digits than its factorization.

18802307198208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240420 (or 240406 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 18802307198208 in words is "eighteen trillion, eight hundred two billion, three hundred seven million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1013 1212 1616 2026 2424 3039 3232 4052 4848 6078 6464 8104 9696 12156 12928 16208 19392 24312 25856 32416 38784 48624 64832 77568 97248 102313 129664 194496 204626 239287 259328 306939 388992 409252 478574 613878 717861 777984 818504 957148 1227756 1435722 1637008 1914296 2455512 2871444 3274016 3828592 4911024 5742888 6548032 7657184 9822048 11485776 13096064 15314368 19644096 22971552 24167987 26192128 30628736 39288192 45943104 48335974 61257472 72503961 78576384 91886208 96671948 145007922 183772416 193343896 242397731 290015844 386687792 484795462 580031688 727193193 773375584 969590924 1160063376 1454386386 1546751168 1939181848 2320126752 2908772772 3093502336 3878363696 4640253504 5817545544 6187004672 7756727392 9280507008 11635091088 15513454784 18561014016 23270182176 24482170831 31026909568 46540364352 48964341662 62053819136 73446512493 93080728704 97928683324 146893024986 186161457408 195857366648 293786049972 391714733296 587572099944 783429466592 1175144199888 1566858933184 2350288399776 3133717866368 4700576799552 6267435732736 9401153599104 18802307198208