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2292010930944 = 28327142113773
BaseRepresentation
bin100001010110100110011…
…111110101001100000000
322010010002011221010020200
4201112212133311030000
5300023014244242234
64512534004405200
7324410111315040
oct41264637651400
98103064833220
102292010930944
11804044466279
123102599a6800
1313819c1a9387
147cd10971720
153e9490eed99
hex215a67f5300

2292010930944 has 108 divisors (see below), whose sum is σ = 7552494405456. Its totient is φ = 654860261376.

The previous prime is 2292010930901. The next prime is 2292010930967. The reversal of 2292010930944 is 4490390102922.

2292010930944 is a `hidden beast` number, since 2 + 292 + 0 + 10 + 9 + 309 + 44 = 666.

It is a super-2 number, since 2×22920109309442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2292010930944.

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 11 ways as a sum of consecutive naturals, for example, 71040759 + ... + 71073014.

Almost surely, 22292010930944 is an apocalyptic number.

2292010930944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2292010930944 is an abundant number, since it is smaller than the sum of its proper divisors (5260483474512).

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

2292010930944 is a wasteful number, since it uses less digits than its factorization.

2292010930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142113802 (or 142113785 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2292010930944 in words is "two trillion, two hundred ninety-two billion, ten million, nine hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 142113773 284227546 426341319 568455092 852682638 994796411 1136910184 1279023957 1705365276 1989592822 2273820368 2558047914 2984389233 3410730552 3979185644 4547640736 5116095828 5968778466 6821461104 7958371288 8953167699 9095281472 10232191656 11937556932 13642922208 15916742576 17906335398 18190562944 20464383312 23875113864 27285844416 31833485152 35812670796 36381125888 40928766624 47750227728 54571688832 63666970304 71625341592 81857533248 95500455456 109143377664 127333940608 143250683184 163715066496 191000910912 254667881216 286501366368 327430132992 382001821824 573002732736 764003643648 1146005465472 2292010930944