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5061251712 = 273111637351
BaseRepresentation
bin1001011011010110…
…01001001010000000
3111001201122020010010
410231223021022000
540331140023322
62154120104520
7236264633616
oct45553111200
914051566103
105061251712
112167a43360
12b93005140
136287564ca
143602876b6
151e950520c
hex12dac9280

5061251712 has 128 divisors (see below), whose sum is σ = 14758110720. Its totient is φ = 1524096000.

The previous prime is 5061251707. The next prime is 5061251717. The reversal of 5061251712 is 2171521605.

It is an interprime number because it is at equal distance from previous prime (5061251707) and next prime (5061251717).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×50612517123 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5061251712.

It is not an unprimeable number, because it can be changed into a prime (5061251717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684837 + ... + 692187.

It is an arithmetic number, because the mean of its divisors is an integer number (115297740).

Almost surely, 25061251712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5061251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379055360).

5061251712 is an abundant number, since it is smaller than the sum of its proper divisors (9696859008).

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

5061251712 is a wasteful number, since it uses less digits than its factorization.

5061251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 5061251712 is about 71142.4747390755. The cubic root of 5061251712 is about 1716.9302230384.

The spelling of 5061251712 in words is "five billion, sixty-one million, two hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 163 176 192 264 326 352 384 489 528 652 704 978 1056 1304 1408 1793 1956 2112 2608 3586 3912 4224 5216 5379 7172 7351 7824 10432 10758 14344 14702 15648 20864 21516 22053 28688 29404 31296 43032 44106 57376 58808 62592 80861 86064 88212 114752 117616 161722 172128 176424 229504 235232 242583 323444 344256 352848 470464 485166 646888 688512 705696 940928 970332 1198213 1293776 1411392 1940664 2396426 2587552 2822784 3594639 3881328 4792852 5175104 7189278 7762656 9585704 10350208 13180343 14378556 15525312 19171408 26360686 28757112 31050624 38342816 39541029 52721372 57514224 76685632 79082058 105442744 115028448 153371264 158164116 210885488 230056896 316328232 421770976 460113792 632656464 843541952 1265312928 1687083904 2530625856 5061251712