Search a number
-
+
198495147648 = 2737671102163
BaseRepresentation
bin1011100011011100111…
…0111001011010000000
3200222100110122021011010
42320313032321122000
511223004224211043
6231104251520520
720224615626240
oct2706716713200
9628313567133
10198495147648
11771aa377376
1232577759140
131594461b3b5
1498702b7b20
15526b2bc133
hex2e373b9680

198495147648 has 128 divisors (see below), whose sum is σ = 611568760320. Its totient is φ = 55866387456.

The previous prime is 198495147647. The next prime is 198495147659. The reversal of 198495147648 is 846741594891.

198495147648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (198495147647) 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 15 ways as a sum of consecutive naturals, for example, 370986 + ... + 731177.

It is an arithmetic number, because the mean of its divisors is an integer number (4777880940).

Almost surely, 2198495147648 is an apocalyptic number.

It is an amenable number.

198495147648 is an abundant number, since it is smaller than the sum of its proper divisors (413073612672).

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

198495147648 is a wasteful number, since it uses less digits than its factorization.

198495147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102254 (or 1102242 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 66.

The spelling of 198495147648 in words is "one hundred ninety-eight billion, four hundred ninety-five million, one hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 268 336 384 402 448 469 536 672 804 896 938 1072 1344 1407 1608 1876 2144 2688 2814 3216 3752 4288 5628 6432 7504 8576 11256 12864 15008 22512 25728 30016 45024 60032 90048 180096 1102163 2204326 3306489 4408652 6612978 7715141 8817304 13225956 15430282 17634608 23145423 26451912 30860564 35269216 46290846 52903824 61721128 70538432 73844921 92581692 105807648 123442256 141076864 147689842 185163384 211615296 221534763 246884512 295379684 370326768 423230592 443069526 493769024 516914447 590759368 740653536 886139052 987538048 1033828894 1181518736 1481307072 1550743341 1772278104 2067657788 2363037472 2962614144 3101486682 3544556208 4135315576 4726074944 6202973364 7089112416 8270631152 9452149888 12405946728 14178224832 16541262304 24811893456 28356449664 33082524608 49623786912 66165049216 99247573824 198495147648