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1993202112 = 26311943751
BaseRepresentation
bin111011011001101…
…1101100111000000
312010220120011021110
41312303131213000
513040224431422
6525441123320
7100251636606
oct16663354700
95126504243
101993202112
11933124280
12477629540
13259c37145
1414ca09876
15b9ebd60c
hex76cdd9c0

1993202112 has 56 divisors (see below), whose sum is σ = 5753112192. Its totient is φ = 604000000.

The previous prime is 1993202059. The next prime is 1993202119. The reversal of 1993202112 is 2112023991.

It is a self number, because there is not a number n which added to its sum of digits gives 1993202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469764 + ... + 473987.

Almost surely, 21993202112 is an apocalyptic number.

1993202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1993202112 is an abundant number, since it is smaller than the sum of its proper divisors (3759910080).

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

1993202112 is a wasteful number, since it uses less digits than its factorization.

1993202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943777 (or 943767 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1993202112 is about 44645.2921594203. The cubic root of 1993202112 is about 1258.4919625095.

The spelling of 1993202112 in words is "one billion, nine hundred ninety-three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 943751 1887502 2831253 3775004 5662506 7550008 10381261 11325012 15100016 20762522 22650024 30200032 31143783 41525044 45300048 60400064 62287566 83050088 90600096 124575132 166100176 181200192 249150264 332200352 498300528 664400704 996601056 1993202112