Search a number
-
+
1381794775296 = 28313731895903
BaseRepresentation
bin10100000110111001011…
…000110000000100000000
311220002122122122120002020
4110012321120300010000
5140114403430302141
62534442053321440
7201555106540125
oct24067130600400
94802578576066
101381794775296
1149301a144541
121a3974336280
13a03c2010170
144ac4483a74c
1525e24c69266
hex141b9630100

1381794775296 has 144 divisors (see below), whose sum is σ = 4014735975936. Its totient is φ = 419343187968.

The previous prime is 1381794775259. The next prime is 1381794775303. The reversal of 1381794775296 is 6925774971831.

It is a self number, because there is not a number n which added to its sum of digits gives 1381794775296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219120 + ... + 1676783.

It is an arithmetic number, because the mean of its divisors is an integer number (27880110944).

Almost surely, 21381794775296 is an apocalyptic number.

1381794775296 is a gapful number since it is divisible by the number (16) 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 1381794775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007367987968).

1381794775296 is an abundant number, since it is smaller than the sum of its proper divisors (2632941200640).

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

1381794775296 is a wasteful number, since it uses less digits than its factorization.

1381794775296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896008 (or 1895994 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 69.

The spelling of 1381794775296 in words is "one trillion, three hundred eighty-one billion, seven hundred ninety-four million, seven hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 256 292 312 384 416 438 584 624 768 832 876 949 1168 1248 1664 1752 1898 2336 2496 2847 3328 3504 3796 4672 4992 5694 7008 7592 9344 9984 11388 14016 15184 18688 22776 28032 30368 45552 56064 60736 91104 121472 182208 242944 364416 728832 1895903 3791806 5687709 7583612 11375418 15167224 22750836 24646739 30334448 45501672 49293478 60668896 73940217 91003344 98586956 121337792 138400919 147880434 182006688 197173912 242675584 276801838 295760868 364013376 394347824 415202757 485351168 553603676 591521736 728026752 788695648 830405514 1107207352 1183043472 1456053504 1577391296 1660811028 1799211947 2214414704 2366086944 3154782592 3321622056 3598423894 4428829408 4732173888 5397635841 6309565184 6643244112 7196847788 8857658816 9464347776 10795271682 13286488224 14393695576 17715317632 18928695552 21590543364 26572976448 28787391152 35430635264 43181086728 53145952896 57574782304 86362173456 106291905792 115149564608 172724346912 230299129216 345448693824 460598258432 690897387648 1381794775296