Search a number
-
+
160085351040 = 2735421198047
BaseRepresentation
bin1001010100010111010…
…1001001101010000000
3120022012121211102121120
42111011311021222000
510110323322213130
6201313040352240
714365031014026
oct2250565115200
9508177742546
10160085351040
116198a00970a
1227038315680
1312132b517b4
147a68db0716
15426e1eb910
hex2545d49a80

160085351040 has 128 divisors (see below), whose sum is σ = 511486686720. Its totient is φ = 42587811840.

The previous prime is 160085351003. The next prime is 160085351059. The reversal of 160085351040 is 40153580061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1600853510403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 160085350992 and 160085351010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709297 + ... + 907343.

It is an arithmetic number, because the mean of its divisors is an integer number (3995989740).

Almost surely, 2160085351040 is an apocalyptic number.

160085351040 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 160085351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255743343360).

160085351040 is an abundant number, since it is smaller than the sum of its proper divisors (351401335680).

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

160085351040 is a wasteful number, since it uses less digits than its factorization.

160085351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198490 (or 198478 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 160085351040 in words is "one hundred sixty billion, eighty-five million, three hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 421 480 640 842 960 1263 1684 1920 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 13472 16840 20208 25260 26944 33680 40416 50520 53888 67360 80832 101040 134720 161664 198047 202080 269440 396094 404160 594141 792188 808320 990235 1188282 1584376 1980470 2376564 2970705 3168752 3960940 4753128 5941410 6337504 7921880 9506256 11882820 12675008 15843760 19012512 23765640 25350016 31687520 38025024 47531280 63375040 76050048 83377787 95062560 126750080 166755574 190125120 250133361 333511148 380250240 416888935 500266722 667022296 833777870 1000533444 1250666805 1334044592 1667555740 2001066888 2501333610 2668089184 3335111480 4002133776 5002667220 5336178368 6670222960 8004267552 10005334440 10672356736 13340445920 16008535104 20010668880 26680891840 32017070208 40021337760 53361783680 80042675520 160085351040