Search a number
-
+
198295397496 = 23327439149843
BaseRepresentation
bin1011100010101101010…
…0111010010001111000
3200221211112202220110100
42320223110322101320
511222102110204441
6231032354315400
720216642032260
oct2705324722170
9627745686410
10198295397496
11771076450a9
1232520888b60
1315912120a41
14985195c7a0
1552589b1cb6
hex2e2b53a478

198295397496 has 96 divisors (see below), whose sum is σ = 628045292160. Its totient is φ = 55338244416.

The previous prime is 198295397491. The next prime is 198295397501. The reversal of 198295397496 is 694793592891.

198295397496 is a `hidden beast` number, since 1 + 9 + 82 + 9 + 53 + 9 + 7 + 496 = 666.

198295397496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198295397491) and next prime (198295397501).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198295397491) 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 23 ways as a sum of consecutive naturals, for example, 4553250 + ... + 4596593.

It is an arithmetic number, because the mean of its divisors is an integer number (6542138460).

Almost surely, 2198295397496 is an apocalyptic number.

It is an amenable number.

198295397496 is an abundant number, since it is smaller than the sum of its proper divisors (429749894664).

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

198295397496 is a wasteful number, since it uses less digits than its factorization.

198295397496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149905 (or 9149898 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 198295397496 in words is "one hundred ninety-eight billion, two hundred ninety-five million, three hundred ninety-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 9149843 18299686 27449529 36599372 54899058 64048901 73198744 82348587 109798116 128097802 164697174 192146703 219596232 256195604 329394348 384293406 393443249 512391208 576440109 658788696 768586812 786886498 1152880218 1180329747 1537173624 1573772996 2305760436 2360659494 2754102743 3147545992 3540989241 4611520872 4721318988 5508205486 7081978482 8262308229 9442637976 11016410972 14163956964 16524616458 22032821944 24786924687 28327913928 33049232916 49573849374 66098465832 99147698748 198295397496