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68048141320 = 235232572771039
BaseRepresentation
bin111111010111111111…
…000011110000001000
320111122101120202010101
4333113333003300020
52103330311010240
651132203455144
74626203441365
oct772777036010
9214571522111
1068048141320
112694a446825
12112312274b4
136555c576a3
1434176cd46c
151b840ac39a
hexfd7fc3c08

68048141320 has 128 divisors (see below), whose sum is σ = 161120793600. Its totient is φ = 25816006656.

The previous prime is 68048141309. The next prime is 68048141327. The reversal of 68048141320 is 2314184086.

It is a self number, because there is not a number n which added to its sum of digits gives 68048141320.

It is not an unprimeable number, because it can be changed into a prime (68048141327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65493361 + ... + 65494399.

It is an arithmetic number, because the mean of its divisors is an integer number (1258756200).

Almost surely, 268048141320 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 68048141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80560396800).

68048141320 is an abundant number, since it is smaller than the sum of its proper divisors (93072652280).

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

68048141320 is a wasteful number, since it uses less digits than its factorization.

68048141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

It can be divided in two parts, 680481 and 41320, that added together give a triangular number (721801 = T1201).

The spelling of 68048141320 in words is "sixty-eight billion, forty-eight million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 257 277 460 514 554 920 1028 1039 1108 1285 1385 2056 2078 2216 2570 2770 4156 5140 5195 5540 5911 6371 8312 10280 10390 11080 11822 12742 20780 23644 23897 25484 29555 31855 41560 47288 47794 50968 59110 63710 71189 95588 118220 119485 127420 142378 191176 236440 238970 254840 267023 284756 287803 355945 477940 534046 569512 575606 711890 955880 1068092 1151212 1335115 1423780 1439015 1637347 2136184 2302424 2670230 2847560 2878030 3274694 5340460 5756060 6141529 6549388 6619469 8186735 10680920 11512120 12283058 13098776 13238938 16373470 24566116 26477876 30707645 32746940 33097345 49132232 52955752 61415290 65493880 66194690 73965371 122830580 132389380 147930742 245661160 264778760 295861484 369826855 591722968 739653710 1479307420 1701203533 2958614840 3402407066 6804814132 8506017665 13609628264 17012035330 34024070660 68048141320