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332012030332032 = 27321716953228673
BaseRepresentation
bin100101101111101101001001…
…1001000010000110010000000
31121112120001002020200101101100
41023133122103020100302000
5322004141114231111112
63134044115432134400
7126635035422621561
oct11337322310206200
91545501066611340
10332012030332032
119687556964a926
12312a21a5237400
13113347a560009b
145bdb67a308168
15285b5dc8782dc
hex12df693210c80

332012030332032 has 96 divisors (see below), whose sum is σ = 1011599154977580. Its totient is φ = 104160636960768.

The previous prime is 332012030332019. The next prime is 332012030332057. The reversal of 332012030332032 is 230233030210233.

332012030332032 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 2 + 0 + 303 + 320 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 284746185331776 + 47265845000256 = 16874424^2 + 6875016^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3320120303320322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332012030331987 and 332012030332005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8476594753 + ... + 8476633920.

Almost surely, 2332012030332032 is an apocalyptic number.

332012030332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332012030332032 is an abundant number, since it is smaller than the sum of its proper divisors (679587124645548).

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

332012030332032 is a wasteful number, since it uses less digits than its factorization.

332012030332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16953228710 (or 16953228695 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332012030332032 its reverse (230233030210233), we get a palindrome (562245060542265).

The spelling of 332012030332032 in words is "three hundred thirty-two trillion, twelve billion, thirty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 16953228673 33906457346 50859686019 67812914692 101719372038 135625829384 152579058057 203438744076 271251658768 288204887441 305158116114 406877488152 542503317536 576409774882 610316232228 813754976304 864614662323 1085006635072 1152819549764 1220632464456 1627509952608 1729229324646 2170013270144 2305639099528 2441264928912 2593843986969 3255019905216 3458458649292 4611278199056 4882529857824 5187687973938 6510039810432 6916917298584 9222556398112 9765059715648 10375375947876 13833834597168 18445112796224 19530119431296 20750751895752 27667669194336 36890225592448 41501503791504 55335338388672 83003007583008 110670676777344 166006015166016 332012030332032