Search a number
-
+
196063362400 = 2552298451007
BaseRepresentation
bin1011011010011001001…
…0010111110101100000
3200202001222210202220211
42312212102113311200
511203014210044100
6230023102143504
720110430040313
oct2664622276540
9622058722824
10196063362400
11761717250a4
1231bb9281b94
1315647884009
1496bd34297a
155177a681ba
hex2da6497d60

196063362400 has 72 divisors (see below), whose sum is σ = 495144558720. Its totient is φ = 75721013760.

The previous prime is 196063362367. The next prime is 196063362401. The reversal of 196063362400 is 4263360691.

196063362400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196063362401) 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 11 ways as a sum of consecutive naturals, for example, 4202304 + ... + 4248703.

It is an arithmetic number, because the mean of its divisors is an integer number (6877007760).

Almost surely, 2196063362400 is an apocalyptic number.

196063362400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196063362400 is an abundant number, since it is smaller than the sum of its proper divisors (299081196320).

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

196063362400 is a wasteful number, since it uses less digits than its factorization.

196063362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451056 (or 8451043 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 196063362400 in words is "one hundred ninety-six billion, sixty-three million, three hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 8451007 16902014 33804028 42255035 67608056 84510070 135216112 169020140 211275175 245079203 270432224 338040280 422550350 490158406 676080560 845100700 980316812 1225396015 1352161120 1690201400 1960633624 2450792030 3380402800 3921267248 4901584060 6126980075 6760805600 7842534496 9803168120 12253960150 19606336240 24507920300 39212672480 49015840600 98031681200 196063362400