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1661560691056 = 247113307499857
BaseRepresentation
bin11000001011011100101…
…111000001100101110000
312212211210000120121100221
4120023130233001211300
5204210334014103211
63311151020022424
7231021010562320
oct30133457014560
95784700517327
101661560691056
11590733769872
1222a031391a14
13c08b8b04b56
145a5c4561280
152d34ad6dc71
hex182dcbc1970

1661560691056 has 160 divisors (see below), whose sum is σ = 3735635904000. Its totient is φ = 701267632128.

The previous prime is 1661560690987. The next prime is 1661560691057. The reversal of 1661560691056 is 6501960651661.

It is a junction number, because it is equal to n+sod(n) for n = 1661560690994 and 1661560691012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661560691057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938810180 + ... + 1938811036.

It is an arithmetic number, because the mean of its divisors is an integer number (23347724400).

Almost surely, 21661560691056 is an apocalyptic number.

1661560691056 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 1661560691056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867817952000).

1661560691056 is an abundant number, since it is smaller than the sum of its proper divisors (2074075212944).

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

1661560691056 is a wasteful number, since it uses less digits than its factorization.

1661560691056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 1661560691056 in words is "one trillion, six hundred sixty-one billion, five hundred sixty million, six hundred ninety-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 307 452 499 614 791 857 904 998 1228 1582 1714 1808 1996 2149 2456 3164 3428 3493 3992 4298 4912 5999 6328 6856 6986 7984 8596 11998 12656 13712 13972 17192 23996 27944 34384 34691 47992 55888 56387 69382 95984 96841 112774 138764 153193 193682 225548 242837 263099 277528 306386 387364 394709 427643 451096 485674 526198 555056 612772 677887 774728 789418 855286 902192 971348 1052396 1072351 1225544 1355774 1549456 1578836 1710572 1841693 1942696 2104792 2144702 2451088 2711548 2993501 3157672 3421144 3683386 3885392 4209584 4289404 5423096 5987002 6315344 6842288 7366772 8578808 10846192 11974004 14733544 17157616 17310809 23948008 29467088 29730187 34621618 47896016 48323659 59460374 69243236 96647318 118920748 121175663 131286401 138486472 193294636 208111309 237841496 242351326 262572802 276972944 338265613 386589272 416222618 475682992 484702652 525145604 676531226 773178544 832445236 919004807 969405304 1050291208 1353062452 1664890472 1838009614 1938810608 2100582416 2706124904 3329780944 3676019228 5412249808 7352038456 14704076912 14835363313 29670726626 59341453252 103847543191 118682906504 207695086382 237365813008 415390172764 830780345528 1661560691056