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1826520120216 = 2332117132481863
BaseRepresentation
bin11010100101000101000…
…101010011101110011000
320110121120022211212012100
4122211011011103232120
5214411203122321331
63515031453043400
7245650604566551
oct32450505235630
96417508755170
101826520120216
11644693a99510
12255ba9a86560
13103317696a2c
14645929b5328
15327a2debae6
hex1a945153b98

1826520120216 has 96 divisors (see below), whose sum is σ = 5472544446720. Its totient is φ = 545695281600.

The previous prime is 1826520120127. The next prime is 1826520120259. The reversal of 1826520120216 is 6120210256281.

1826520120216 is a `hidden beast` number, since 1 + 8 + 2 + 6 + 520 + 120 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16184700 + ... + 16297163.

It is an arithmetic number, because the mean of its divisors is an integer number (57005671320).

Almost surely, 21826520120216 is an apocalyptic number.

It is an amenable number.

1826520120216 is an abundant number, since it is smaller than the sum of its proper divisors (3646024326504).

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

1826520120216 is a wasteful number, since it uses less digits than its factorization.

1826520120216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32481957 (or 32481950 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 1826520120216 its reverse (6120210256281), we get a palindrome (7946730376497).

The spelling of 1826520120216 in words is "one trillion, eight hundred twenty-six billion, five hundred twenty million, one hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 56232 32481863 64963726 97445589 129927452 194891178 259854904 292336767 357300493 389782356 584673534 714600986 779564712 1071901479 1169347068 1429201972 2143802958 2306212273 2338694136 2858403944 3215704437 4287605916 4612424546 6431408874 6918636819 8575211832 9224849092 12862817748 13837273638 18449698184 20755910457 25368335003 25725635496 27674547276 41511820914 50736670006 55349094552 76105005009 83023641828 101473340012 152210010018 166047283656 202946680024 228315015027 304420020036 456630030054 608840040072 913260060108 1826520120216