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196387504128 = 21534233217
BaseRepresentation
bin1011011011100110011…
…0111000000000000000
3200202220120201212210000
42312321212320000000
511204200200113003
6230115201440000
720121444146034
oct2667146700000
9622816655700
10196387504128
1176318698622
1232089940000
1315699a8545a
1497103dc1c4
1551962451a3
hex2db99b8000

196387504128 has 320 divisors, whose sum is σ = 612429293520. Its totient is φ = 62596841472.

The previous prime is 196387504123. The next prime is 196387504133. The reversal of 196387504128 is 821405783691.

196387504128 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 8 + 7 + 504 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (196387504123) and next prime (196387504133).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196387504123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61045176 + ... + 61048392.

It is a 1-persistent number, because it is pandigital, but 2⋅196387504128 = 392775008256 is not.

Almost surely, 2196387504128 is an apocalyptic number.

196387504128 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 196387504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306214646760).

196387504128 is an abundant number, since it is smaller than the sum of its proper divisors (416041789392).

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

196387504128 is an frugal number, since it uses more digits than its factorization.

196387504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 196387504128 in words is "one hundred ninety-six billion, three hundred eighty-seven million, five hundred four thousand, one hundred twenty-eight".