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68785297380 = 223254163114771
BaseRepresentation
bin100000000001111101…
…1000101011111100100
320120112202200011010200
41000003323011133210
52111333014004010
651333255350500
74653364244412
oct1000373053744
9216482604120
1068785297380
1127198564008
12113b8082430
1366428a5cc7
14348757a2b2
151bc8b6dcc0
hex1003ec57e4

68785297380 has 144 divisors (see below), whose sum is σ = 214090950528. Its totient is φ = 17865792000.

The previous prime is 68785297349. The next prime is 68785297387. The reversal of 68785297380 is 8379258786.

68785297380 is a `hidden beast` number, since 6 + 8 + 78 + 529 + 7 + 38 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (68785297387) 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 47 ways as a sum of consecutive naturals, for example, 4649395 + ... + 4664165.

It is an arithmetic number, because the mean of its divisors is an integer number (1486742712).

Almost surely, 268785297380 is an apocalyptic number.

68785297380 is a gapful number since it is divisible by the number (60) 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 68785297380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107045475264).

68785297380 is an abundant number, since it is smaller than the sum of its proper divisors (145305653148).

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

68785297380 is a wasteful number, since it uses less digits than its factorization.

68785297380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15458 (or 15453 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 68785297380 in words is "sixty-eight billion, seven hundred eighty-five million, two hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 631 738 820 1230 1262 1476 1845 1893 2460 2524 3155 3690 3786 5679 6310 7380 7572 9465 11358 12620 14771 18930 22716 25871 28395 29542 37860 44313 51742 56790 59084 73855 77613 88626 103484 113580 129355 132939 147710 155226 177252 221565 232839 258710 265878 295420 310452 388065 443130 465678 517420 531756 605611 664695 776130 886260 931356 1164195 1211222 1329390 1552260 1816833 2328390 2422444 2658780 3028055 3633666 4656780 5450499 6056110 7267332 9084165 9320501 10900998 12112220 18168330 18641002 21801996 27252495 27961503 36336660 37282004 46602505 54504990 55923006 83884509 93205010 109009980 111846012 139807515 167769018 186410020 279615030 335538036 382140541 419422545 559230060 764281082 838845090 1146421623 1528562164 1677690180 1910702705 2292843246 3439264869 3821405410 4585686492 5732108115 6878529738 7642810820 11464216230 13757059476 17196324345 22928432460 34392648690 68785297380