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1161421004560 = 245371277194297
BaseRepresentation
bin10000111001101010000…
…101100001111100010000
311010000211102112002021111
4100321222011201330100
5123012042234121220
62245314402503104
7146624044436455
oct20715205417420
94100742462244
101161421004560
11408612973893
12169111664a94
13856a1a5965b
14402da97982c
1520327d4715a
hex10e6a161f10

1161421004560 has 160 divisors (see below), whose sum is σ = 2799660810240. Its totient is φ = 447725408256.

The previous prime is 1161421004521. The next prime is 1161421004641. The reversal of 1161421004560 is 654001241611.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 270284332 + ... + 270288628.

It is an arithmetic number, because the mean of its divisors is an integer number (17497880064).

Almost surely, 21161421004560 is an apocalyptic number.

1161421004560 is a gapful number since it is divisible by the number (10) 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 1161421004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399830405120).

1161421004560 is an abundant number, since it is smaller than the sum of its proper divisors (1638239805680).

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

1161421004560 is a wasteful number, since it uses less digits than its factorization.

1161421004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 1161421004560 in words is "one trillion, one hundred sixty-one billion, four hundred twenty-one million, four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 127 148 185 254 296 370 508 592 635 719 740 1016 1270 1438 1480 2032 2540 2876 2960 3595 4297 4699 5080 5752 7190 8594 9398 10160 11504 14380 17188 18796 21485 23495 26603 28760 34376 37592 42970 46990 53206 57520 68752 75184 85940 91313 93980 106412 133015 158989 171880 182626 187960 212824 266030 317978 343760 365252 375920 425648 456565 532060 545719 635956 730504 794945 913130 1064120 1091438 1271912 1461008 1589890 1826260 2128240 2182876 2543824 2728595 3089543 3179780 3378581 3652520 4365752 5457190 6179086 6359560 6757162 7305040 8731504 10914380 12358172 12719120 13514324 15447715 16892905 20191603 21828760 24716344 27028648 30895430 33785810 40383206 43657520 49432688 54057296 61790860 67571620 80766412 100958015 114313091 123581720 135143240 161532824 201916030 228626182 247163440 270286480 323065648 392371961 403832060 457252364 571565455 784743922 807664120 914504728 1143130910 1569487844 1615328240 1829009456 1961859805 2286261820 3138975688 3923719610 4572523640 6277951376 7847439220 9145047280 14517762557 15694878440 29035525114 31389756880 58071050228 72588812785 116142100456 145177625570 232284200912 290355251140 580710502280 1161421004560