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6750711264 = 2531125125469
BaseRepresentation
bin1100100100101111…
…11010110111100000
3122102110122122221010
412102113322313200
5102311140230024
63033511100520
7326201045643
oct62227726740
918373578833
106750711264
112954667320
121384971740
1383778220b
144807c7a5a
152979c5b29
hex1925fade0

6750711264 has 96 divisors (see below), whose sum is σ = 19409362560. Its totient is φ = 2037440000.

The previous prime is 6750711251. The next prime is 6750711269. The reversal of 6750711264 is 4621170576.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6750711269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252322 + ... + 277790.

It is an arithmetic number, because the mean of its divisors is an integer number (202180860).

Almost surely, 26750711264 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 6750711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704681280).

6750711264 is an abundant number, since it is smaller than the sum of its proper divisors (12658651296).

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

6750711264 is a wasteful number, since it uses less digits than its factorization.

6750711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25744 (or 25736 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6750711264 is about 82162.7121266089. The cubic root of 6750711264 is about 1889.9479529913.

It can be divided in two parts, 6750711 and 264, that added together give a triangular number (6750975 = T3674).

The spelling of 6750711264 in words is "six billion, seven hundred fifty million, seven hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 251 264 352 502 528 753 1004 1056 1506 2008 2761 3012 4016 5522 6024 8032 8283 11044 12048 16566 22088 24096 25469 33132 44176 50938 66264 76407 88352 101876 132528 152814 203752 265056 280159 305628 407504 560318 611256 815008 840477 1120636 1222512 1680954 2241272 2445024 3361908 4482544 6392719 6723816 8965088 12785438 13447632 19178157 25570876 26895264 38356314 51141752 70319909 76712628 102283504 140639818 153425256 204567008 210959727 281279636 306850512 421919454 562559272 613701024 843838908 1125118544 1687677816 2250237088 3375355632 6750711264