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6848006616 = 23321125314831
BaseRepresentation
bin1100110000010110…
…00100100111011000
3122200020201210001200
412120023010213120
5103011042202431
63051304314200
7331462044603
oct63013044730
918606653050
106848006616
1129a4580800
1213b1472960
13851989929
1448d6b333a
152a12e3ee6
hex1982c49d8

6848006616 has 144 divisors (see below), whose sum is σ = 20772067680. Its totient is φ = 2035862400.

The previous prime is 6848006597. The next prime is 6848006617. The reversal of 6848006616 is 6166008486.

It is a super-2 number, since 2×68480066162 = 93790389225559542912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848006617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 454321 + ... + 469151.

It is an arithmetic number, because the mean of its divisors is an integer number (144250470).

Almost surely, 26848006616 is an apocalyptic number.

6848006616 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 6848006616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386033840).

6848006616 is an abundant number, since it is smaller than the sum of its proper divisors (13924061064).

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

6848006616 is a wasteful number, since it uses less digits than its factorization.

6848006616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14918 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6848006616 is about 82752.6834368530. The cubic root of 6848006616 is about 1898.9843709588.

The spelling of 6848006616 in words is "six billion, eight hundred forty-eight million, six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 121 132 159 198 212 242 264 318 363 396 424 477 484 583 636 726 792 954 968 1089 1166 1272 1452 1749 1908 2178 2332 2904 3498 3816 4356 4664 5247 6413 6996 8712 10494 12826 13992 14831 19239 20988 25652 29662 38478 41976 44493 51304 57717 59324 76956 88986 115434 118648 133479 153912 163141 177972 230868 266958 326282 355944 461736 489423 533916 652564 786043 978846 1067832 1305128 1468269 1572086 1794551 1957692 2358129 2936538 3144172 3589102 3915384 4716258 5383653 5873076 6288344 7074387 7178204 8646473 9432516 10767306 11746152 14148774 14356408 16150959 17292946 18865032 21534612 25939419 28297548 32301918 34585892 43069224 51878838 56595096 64603836 69171784 77818257 95111203 103757676 129207672 155636514 190222406 207515352 285333609 311273028 380444812 570667218 622546056 760889624 856000827 1141334436 1712001654 2282668872 3424003308 6848006616