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196429118976 = 2932537910181
BaseRepresentation
bin1011011011110000010…
…1100111111000000000
3200210000111001010121200
42312330011213320000
511204241323301401
6230123245421200
720122460651106
oct2667405477000
9623014033550
10196429118976
117633a131462
123209b86a800
13156a559601c
149715b51c76
155199c15686
hex2dbc167e00

196429118976 has 240 divisors, whose sum is σ = 584973005760. Its totient is φ = 63421562880.

The previous prime is 196429118947. The next prime is 196429118987. The reversal of 196429118976 is 679811924691.

196429118976 is a `hidden beast` number, since 1 + 9 + 6 + 429 + 118 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19288606 + ... + 19298786.

It is an arithmetic number, because the mean of its divisors is an integer number (2437387524).

Almost surely, 2196429118976 is an apocalyptic number.

196429118976 is a gapful number since it is divisible by the number (16) 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 196429118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292486502880).

196429118976 is an abundant number, since it is smaller than the sum of its proper divisors (388543886784).

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

196429118976 is a wasteful number, since it uses less digits than its factorization.

196429118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337 (or 10318 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 196429118976 in words is "one hundred ninety-six billion, four hundred twenty-nine million, one hundred eighteen thousand, nine hundred seventy-six".