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6854431038260 = 22513217238150101
BaseRepresentation
bin110001110111110101111…
…1011010101101100110100
3220021021111002021112021212
41203233223323111230310
51344300333321211020
622324514313300552
71305134122335641
oct143575373255464
926237432245255
106854431038260
112202a47698893
12928527104758
133a94a7088900
14199a8315cdc8
15bd475b39cc5
hex63bebed5b34

6854431038260 has 144 divisors (see below), whose sum is σ = 16510860383472. Its totient is φ = 2380944384000.

The previous prime is 6854431038167. The next prime is 6854431038271. The reversal of 6854431038260 is 628301344586.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 6769019806756 + 85411231504 = 2601734^2 + 292252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6854431038199 and 6854431038208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136787210 + ... + 136837310.

It is an arithmetic number, because the mean of its divisors is an integer number (114658752663).

Almost surely, 26854431038260 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 6854431038260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255430191736).

6854431038260 is an abundant number, since it is smaller than the sum of its proper divisors (9656429345212).

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

6854431038260 is a wasteful number, since it uses less digits than its factorization.

6854431038260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52534 (or 52519 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 6854431038260 in words is "six trillion, eight hundred fifty-four billion, four hundred thirty-one million, thirty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2210 2381 2873 3380 4420 4762 5746 9524 11492 11905 14365 23810 28730 30953 40477 47620 50101 57460 61906 80954 100202 123812 154765 161908 200404 202385 250505 309530 402389 404770 501010 526201 619060 651313 804778 809540 851717 1002020 1052402 1302626 1609556 1703434 2011945 2104804 2605252 2631005 3256565 3406868 4023890 4258585 5262010 6513130 6840613 8047780 8467069 8517170 10524020 11072321 13026260 13681226 16934138 17034340 22144642 27362452 33868276 34203065 42335345 44289284 55361605 68406130 84670690 110723210 119290481 136812260 143940173 169341380 221446420 238580962 287880346 477161924 575760692 596452405 719700865 1192904810 1439401730 1550776253 2027938177 2385809620 2878803460 3101552506 4055876354 6203105012 7753881265 8111752708 10139690885 15507762530 20160091289 20279381770 26363196301 31015525060 40320182578 40558763540 52726392602 80640365156 100800456445 105452785204 131815981505 201600912890 263631963010 342721551913 403201825780 527263926020 685443103826 1370886207652 1713607759565 3427215519130 6854431038260