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6804512440 = 2351122948479
BaseRepresentation
bin1100101011001010…
…01001111010111000
3122120012220001021021
412111211021322320
5102413423344230
63043112152224
7330423254455
oct62545117270
918505801237
106804512440
112981a73a00
12139a998674
1384596b82b
144879d082c
1529c5a1c7a
hex195949eb8

6804512440 has 96 divisors (see below), whose sum is σ = 17409168000. Its totient is φ = 2388995840.

The previous prime is 6804512423. The next prime is 6804512443. The reversal of 6804512440 is 442154086.

It is a super-2 number, since 2×68045124402 = 92602779092229507200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6804512396 and 6804512405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804512443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116121 + ... + 164599.

It is an arithmetic number, because the mean of its divisors is an integer number (181345500).

Almost surely, 26804512440 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 6804512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704584000).

6804512440 is an abundant number, since it is smaller than the sum of its proper divisors (10604655560).

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

6804512440 is a wasteful number, since it uses less digits than its factorization.

6804512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48541 (or 48526 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 6804512440 is about 82489.4686611570. The cubic root of 6804512440 is about 1894.9554494624.

The spelling of 6804512440 in words is "six billion, eight hundred four million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 232 242 290 319 440 484 580 605 638 968 1160 1210 1276 1595 2420 2552 3190 3509 4840 6380 7018 12760 14036 17545 28072 35090 48479 70180 96958 140360 193916 242395 387832 484790 533269 969580 1066538 1405891 1939160 2133076 2666345 2811782 4266152 5332690 5623564 5865959 7029455 10665380 11247128 11731918 14058910 15464801 21330760 23463836 28117820 29329795 30929602 46927672 56235640 58659590 61859204 77324005 117319180 123718408 154648010 170112811 234638360 309296020 340225622 618592040 680451244 850564055 1360902488 1701128110 3402256220 6804512440