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10083820240818 = 233613478822101
BaseRepresentation
bin1001001010111101001010…
…0001011111111110110010
31022201000002202210200001000
42102233102201133332302
52310203130440201233
633240235411422430
72060350315546242
oct222572241377662
938630082720030
1010083820240818
113238584706615
12116a38abb4a16
13581b9189365c
1426c0b93c7b22
151274839c9d13
hex92bd285ffb2

10083820240818 has 64 divisors (see below), whose sum is σ = 22841480730240. Its totient is φ = 3296642328000.

The previous prime is 10083820240817. The next prime is 10083820240829. The reversal of 10083820240818 is 81804202838001.

It is a happy number.

10083820240818 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 38 + 202 + 408 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10083820240811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3268033 + ... + 5554068.

It is an arithmetic number, because the mean of its divisors is an integer number (356898136410).

Almost surely, 210083820240818 is an apocalyptic number.

10083820240818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10083820240818 is an abundant number, since it is smaller than the sum of its proper divisors (12757660489422).

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

10083820240818 is a wasteful number, since it uses less digits than its factorization.

10083820240818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822520 (or 8822514 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10083820240818 in words is "ten trillion, eighty-three billion, eight hundred twenty million, two hundred forty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 347 366 549 694 1041 1098 1647 2082 3123 3294 6246 9369 18738 21167 42334 63501 127002 190503 381006 571509 1143018 8822101 17644202 26466303 52932606 79398909 158797818 238196727 476393454 538148161 1076296322 1614444483 3061269047 3228888966 4843333449 6122538094 9183807141 9686666898 14530000347 18367614282 27551421423 29060000694 55102842846 82654264269 165308528538 186737411867 373474823734 560212235601 1120424471202 1680636706803 3361273413606 5041910120409 10083820240818