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2162745383560 = 235172887210923
BaseRepresentation
bin11111011110001101101…
…010111001101010001000
321122202102102222221012121
4133132031222321222020
5240413300304233220
64333315043221024
7312152563303666
oct37361552715210
97582372887177
102162745383560
11764240428283
122ab1a3077774
13128c3b5177b8
147696ac4bc36
153b3d09b6eaa
hex1f78dab9a88

2162745383560 has 96 divisors (see below), whose sum is σ = 5175113146560. Its totient is φ = 813288233984.

The previous prime is 2162745383507. The next prime is 2162745383573. The reversal of 2162745383560 is 653835472612.

It is a super-2 number, since 2×21627453835602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2162745383498 and 2162745383507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10148259 + ... + 10359181.

It is an arithmetic number, because the mean of its divisors is an integer number (53907428610).

Almost surely, 22162745383560 is an apocalyptic number.

2162745383560 is a gapful number since it is divisible by the number (20) 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 2162745383560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587556573280).

2162745383560 is an abundant number, since it is smaller than the sum of its proper divisors (3012367763000).

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

2162745383560 is a wasteful number, since it uses less digits than its factorization.

2162745383560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211855 (or 211834 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 2162745383560 in words is "two trillion, one hundred sixty-two billion, seven hundred forty-five million, three hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 887 1156 1445 1774 2312 2890 3548 4435 5780 7096 8870 11560 15079 17740 30158 35480 60316 75395 120632 150790 210923 256343 301580 421846 512686 603160 843692 1025372 1054615 1281715 1687384 2050744 2109230 2563430 3585691 4218460 5126860 7171382 8436920 10253720 14342764 17928455 28685528 35856910 60956747 71713820 121913494 143427640 187088701 243826988 304783735 374177402 487653976 609567470 748354804 935443505 1219134940 1496709608 1870887010 2438269880 3180507917 3741774020 6361015834 7483548040 12722031668 15902539585 25444063336 31805079170 54068634589 63610158340 108137269178 127220316680 216274538356 270343172945 432549076712 540686345890 1081372691780 2162745383560