Search a number
-
+
196742374200 = 23365219293179
BaseRepresentation
bin1011011100111011000…
…0100110001100111000
3200210211022111011000000
42313032300212030320
511210412021433300
6230214315513000
720133313405461
oct2671660461470
9623738434000
10196742374200
117648aa39779
1232168758760
1315725455248
1497455b5d68
1551b7491c00
hex2dcec26338

196742374200 has 1344 divisors, whose sum is σ = 780664320000. Its totient is φ = 45853516800.

The previous prime is 196742374133. The next prime is 196742374223. The reversal of 196742374200 is 2473247691.

196742374200 is a `hidden beast` number, since 1 + 9 + 6 + 74 + 2 + 374 + 200 = 666.

196742374200 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 (45).

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 2490409761 + ... + 2490409839.

Almost surely, 2196742374200 is an apocalyptic number.

196742374200 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 196742374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390332160000).

196742374200 is an abundant number, since it is smaller than the sum of its proper divisors (583921945800).

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

196742374200 is a wasteful number, since it uses less digits than its factorization.

196742374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 196742374200 in words is "one hundred ninety-six billion, seven hundred forty-two million, three hundred seventy-four thousand, two hundred".