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2010505500432 = 2432111397635271
BaseRepresentation
bin11101010000011011011…
…101110101011100010000
321010012110120210120022200
4131100123131311130100
5230420003402003212
64135340302203200
7265153125533142
oct35203335653420
97105416716280
102010505500432
11705717a39850
12285796283500
13117788bb1410
146d447bdac92
153747043d6dc
hex1d41b775710

2010505500432 has 120 divisors (see below), whose sum is σ = 6610298455488. Its totient is φ = 562379155200.

The previous prime is 2010505500401. The next prime is 2010505500469. The reversal of 2010505500432 is 2340055050102.

It is a happy number.

2010505500432 is a `hidden beast` number, since 2 + 0 + 105 + 0 + 550 + 0 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2010505500396 and 2010505500405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48797044 + ... + 48838227.

Almost surely, 22010505500432 is an apocalyptic number.

2010505500432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2010505500432 is an abundant number, since it is smaller than the sum of its proper divisors (4599792955056).

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

2010505500432 is a wasteful number, since it uses less digits than its factorization.

2010505500432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97635309 (or 97635300 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 2010505500432 in words is "two trillion, ten billion, five hundred five million, five hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 97635271 195270542 292905813 390541084 585811626 781082168 878717439 1073987981 1171623252 1269258523 1562164336 1757434878 2147975962 2343246504 2538517046 3221963943 3514869756 3807775569 4295951924 4686493008 5077034092 6443927886 7029739512 7615551138 8591903848 9665891829 10154068184 11423326707 12887855772 13961843753 14059479024 15231102276 17183807696 19331783658 20308136368 22846653414 25775711544 27923687506 30462204552 38663567316 41885531259 45693306828 51551423088 55847375012 60924409104 77327134632 83771062518 91386613656 111694750024 125656593777 154654269264 167542125036 182773227312 223389500048 251313187554 335084250072 502626375108 670168500144 1005252750216 2010505500432