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8140468146780 = 2235418293991717
BaseRepresentation
bin111011001110101100110…
…1101100101001001011100
31001211012222012222121021010
41312131121231211021130
52031333134321144110
625151402431535220
71500062250365034
oct166353155451134
931735865877233
108140468146780
112659398057a42
12ab581638a510
13470848467888
142020021308c4
15e1b43d0c020
hex76759b6525c

8140468146780 has 96 divisors (see below), whose sum is σ = 23377416632640. Its totient is φ = 2115290142720.

The previous prime is 8140468146743. The next prime is 8140468146787. The reversal of 8140468146780 is 876418640418.

It is a self number, because there is not a number n which added to its sum of digits gives 8140468146780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140468146787) 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, 43482 + ... + 4035198.

It is an arithmetic number, because the mean of its divisors is an integer number (243514756590).

Almost surely, 28140468146780 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 8140468146780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688708316320).

8140468146780 is an abundant number, since it is smaller than the sum of its proper divisors (15236948485860).

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

8140468146780 is a wasteful number, since it uses less digits than its factorization.

8140468146780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992599 (or 3992597 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 8140468146780 in words is "eight trillion, one hundred forty billion, four hundred sixty-eight million, one hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 829 1230 1658 2460 2487 3316 4145 4974 8290 9948 12435 16580 24870 33989 49740 67978 101967 135956 169945 203934 339890 407868 509835 679780 1019670 2039340 3991717 7983434 11975151 15966868 19958585 23950302 39917170 47900604 59875755 79834340 119751510 163660397 239503020 327320794 490981191 654641588 818301985 981962382 1636603970 1963924764 2454905955 3273207940 3309133393 4909811910 6618266786 9819623820 9927400179 13236533572 16545666965 19854800358 33091333930 39709600716 49637000895 66182667860 99274001790 135674469113 198548003580 271348938226 407023407339 542697876452 678372345565 814046814678 1356744691130 1628093629356 2035117036695 2713489382260 4070234073390 8140468146780