Search a number
-
+
196423241460 = 223519184793287
BaseRepresentation
bin1011011011101110111…
…1001100111011110100
3200210000001222112011220
42312323233030323310
511204233322211320
6230122515430340
720122360001355
oct2667357147364
9623001875156
10196423241460
1176336887606
12320998b53b0
13156a42b89c4
149715061d2c
155199453e40
hex2dbbbccef4

196423241460 has 96 divisors (see below), whose sum is σ = 579251312640. Its totient is φ = 49595315328.

The previous prime is 196423241453. The next prime is 196423241461. The reversal of 196423241460 is 64142324691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196423241461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2058937 + ... + 2152223.

It is an arithmetic number, because the mean of its divisors is an integer number (6033867840).

Almost surely, 2196423241460 is an apocalyptic number.

196423241460 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 196423241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289625656320).

196423241460 is an abundant number, since it is smaller than the sum of its proper divisors (382828071180).

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

196423241460 is a wasteful number, since it uses less digits than its factorization.

196423241460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95165 (or 95163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 196423241460 in words is "one hundred ninety-six billion, four hundred twenty-three million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1847 3694 5541 7388 9235 11082 18470 22164 27705 35093 36940 55410 70186 93287 105279 110820 140372 175465 186574 210558 279861 350930 373148 421116 466435 526395 559722 701860 932870 1052790 1119444 1399305 1772453 1865740 2105580 2798610 3544906 5317359 5597220 7089812 8862265 10634718 17724530 21269436 26586795 35449060 53173590 106347180 172301089 344602178 516903267 689204356 861505445 1033806534 1723010890 2067613068 2584516335 3273720691 3446021780 5169032670 6547441382 9821162073 10338065340 13094882764 16368603455 19642324146 32737206910 39284648292 49105810365 65474413820 98211620730 196423241460