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6514469016 = 233111031072239
BaseRepresentation
bin1100001000100101…
…01110100010011000
3121211000010022111020
412010102232202120
5101320201002031
62554231402440
7320302034016
oct60422564230
917730108436
106514469016
11284327aaa0
121319823420
137ca8488c3
1445b28d8b6
15281dad096
hex1844ae898

6514469016 has 128 divisors (see below), whose sum is σ = 18114969600. Its totient is φ = 1935780480.

The previous prime is 6514468999. The next prime is 6514469021. The reversal of 6514469016 is 6109644156.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2908425 + ... + 2910663.

It is an arithmetic number, because the mean of its divisors is an integer number (141523200).

Almost surely, 26514469016 is an apocalyptic number.

6514469016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6514469016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

6514469016 is an abundant number, since it is smaller than the sum of its proper divisors (11600500584).

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

6514469016 is a wasteful number, since it uses less digits than its factorization.

6514469016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6514469016 is about 80712.2606299687. The cubic root of 6514469016 is about 1867.6393153525.

The spelling of 6514469016 in words is "six billion, five hundred fourteen million, four hundred sixty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 107 132 206 214 264 309 321 412 428 618 642 824 856 1133 1177 1236 1284 2239 2266 2354 2472 2568 3399 3531 4478 4532 4708 6717 6798 7062 8956 9064 9416 11021 13434 13596 14124 17912 22042 24629 26868 27192 28248 33063 44084 49258 53736 66126 73887 88168 98516 121231 132252 147774 197032 230617 239573 242462 264504 295548 363693 461234 479146 484924 591096 691851 718719 727386 922468 958292 969848 1383702 1437438 1454772 1844936 1916584 2536787 2635303 2767404 2874876 2909544 5073574 5270606 5534808 5749752 7610361 7905909 10147148 10541212 15220722 15811818 20294296 21082424 24676019 30441444 31623636 49352038 60882888 63247272 74028057 98704076 148056114 197408152 271436209 296112228 542872418 592224456 814308627 1085744836 1628617254 2171489672 3257234508 6514469016