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2012517312 = 26313806297
BaseRepresentation
bin111011111110100…
…1001001111000000
312012020220110202020
41313331021033000
513110201023222
6531411121440
7100605054261
oct16775111700
95166813666
102012517312
11943017053
12481ba3280
13260c3a960
141513d6968
15bba3665c
hex77f493c0

2012517312 has 56 divisors (see below), whose sum is σ = 5734391376. Its totient is φ = 619235328.

The previous prime is 2012517271. The next prime is 2012517323. The reversal of 2012517312 is 2137152102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 400653 + ... + 405644.

It is an arithmetic number, because the mean of its divisors is an integer number (102399846).

Almost surely, 22012517312 is an apocalyptic number.

It is an amenable number.

2012517312 is an abundant number, since it is smaller than the sum of its proper divisors (3721874064).

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

2012517312 is a wasteful number, since it uses less digits than its factorization.

2012517312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806325 (or 806315 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2012517312 is about 44861.0890639093. The cubic root of 2012517312 is about 1262.5440561302.

Adding to 2012517312 its reverse (2137152102), we get a palindrome (4149669414).

The spelling of 2012517312 in words is "two billion, twelve million, five hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 806297 1612594 2418891 3225188 4837782 6450376 9675564 10481861 12900752 19351128 20963722 25801504 31445583 38702256 41927444 51603008 62891166 77404512 83854888 125782332 154809024 167709776 251564664 335419552 503129328 670839104 1006258656 2012517312