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195189690160 = 24517434397603
BaseRepresentation
bin1011010111001000110…
…1100100111100110000
3200122211002211121220201
42311302031210330300
511144222030041120
6225400252244544
720046660664033
oct2656215447460
9618732747821
10195189690160
1175863545223
12319b4770754
1315538877caa
1496392bb01a
155125edc40a
hex2d72364f30

195189690160 has 160 divisors (see below), whose sum is σ = 492870597120. Its totient is φ = 71601352704.

The previous prime is 195189690107. The next prime is 195189690167. The reversal of 195189690160 is 61096981591.

195189690160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195189690167) 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, 25668919 + ... + 25676521.

It is an arithmetic number, because the mean of its divisors is an integer number (3080441232).

Almost surely, 2195189690160 is an apocalyptic number.

195189690160 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 195189690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246435298560).

195189690160 is an abundant number, since it is smaller than the sum of its proper divisors (297680906960).

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

195189690160 is a wasteful number, since it uses less digits than its factorization.

195189690160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 55.

The spelling of 195189690160 in words is "one hundred ninety-five billion, one hundred eighty-nine million, six hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 439 680 688 731 860 878 1360 1462 1720 1756 2195 2924 3440 3512 3655 4390 5848 7024 7310 7463 7603 8780 11696 14620 14926 15206 17560 18877 29240 29852 30412 35120 37315 37754 38015 58480 59704 60824 74630 75508 76030 94385 119408 121648 129251 149260 151016 152060 188770 258502 298520 302032 304120 320909 326929 377540 517004 597040 608240 641818 646255 653858 755080 1034008 1283636 1292510 1307716 1510160 1604545 1634645 2068016 2567272 2585020 2615432 3209090 3269290 3337717 5134544 5170040 5230864 5557793 6418180 6538580 6675434 10340080 11115586 12836360 13077160 13350868 16688585 22231172 25672720 26154320 26701736 27788965 33377170 44462344 53403472 55577930 56741189 66754340 88924688 111155860 113482378 133508680 143521831 222311720 226964756 267017360 283705945 287043662 444623440 453929512 567411890 574087324 717609155 907859024 1134823780 1148174648 1435218310 2269647560 2296349296 2439871127 2870436620 4539295120 4879742254 5740873240 9759484508 11481746480 12199355635 19518969016 24398711270 39037938032 48797422540 97594845080 195189690160