Search a number
-
+
196435427328 = 214327231877
BaseRepresentation
bin1011011011110001110…
…1101100000000000000
3200210000220220122001100
42312330131230000000
511204244432133303
6230124032534400
720122565403600
oct2667435540000
9623026818040
10196435427328
117634274aa78
12320a19b1400
13156a699448a
149716914c00
15519a55e8a3
hex2dbc76c000

196435427328 has 540 divisors, whose sum is σ = 682180629312. Its totient is φ = 54252011520.

The previous prime is 196435427317. The next prime is 196435427333. The reversal of 196435427328 is 823724534691.

196435427328 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 3 + 542 + 73 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223985226 + ... + 223986102.

Almost surely, 2196435427328 is an apocalyptic number.

196435427328 is a gapful number since it is divisible by the number (18) 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 196435427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341090314656).

196435427328 is an abundant number, since it is smaller than the sum of its proper divisors (485745201984).

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

196435427328 is an equidigital number, since it uses as much as digits as its factorization.

196435427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 920 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 196435427328 in words is "one hundred ninety-six billion, four hundred thirty-five million, four hundred twenty-seven thousand, three hundred twenty-eight".