Search a number
-
+
196540978720 = 25519359310733
BaseRepresentation
bin1011011100001011000…
…0010101011000100000
3200210022021112012100011
42313002300111120200
511210003442304340
6230142323134304
720125316516602
oct2670260253040
9623267465304
10196540978720
1176397293329
1232111214394
13156c27cca18
14972694d172
1551a495e0ea
hex2dc2c15620

196540978720 has 96 divisors (see below), whose sum is σ = 467564538672. Its totient is φ = 78069891072.

The previous prime is 196540978657. The next prime is 196540978747. The reversal of 196540978720 is 27879045691.

It can be written as a sum of positive squares in 8 ways, for example, as 28155497616 + 168385481104 = 167796^2 + 410348^2 .

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, 18306474 + ... + 18317206.

Almost surely, 2196540978720 is an apocalyptic number.

196540978720 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 196540978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233782269336).

196540978720 is an abundant number, since it is smaller than the sum of its proper divisors (271023559952).

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

196540978720 is a wasteful number, since it uses less digits than its factorization.

196540978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11534 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 196540978720 in words is "one hundred ninety-six billion, five hundred forty million, nine hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 593 772 965 1186 1544 1930 2372 2965 3088 3860 4744 5930 6176 7720 9488 10733 11860 15440 18976 21466 23720 30880 42932 47440 53665 85864 94880 107330 114449 171728 214660 228898 343456 429320 457796 572245 858640 915592 1144490 1717280 1831184 2071469 2288980 3662368 4142938 4577960 6364669 8285876 9155920 10357345 12729338 16571752 18311840 20714690 25458676 31823345 33143504 41429380 50917352 63646690 66287008 82858760 101834704 127293380 165717520 203669408 254586760 331435040 509173520 1018347040 1228381117 2456762234 4913524468 6141905585 9827048936 12283811170 19654097872 24567622340 39308195744 49135244680 98270489360 196540978720