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196779697920 = 283351323137139
BaseRepresentation
bin1011011101000011111…
…0111110011100000000
3200210220220201101112000
42313100332332130000
511211001100313140
6230222131504000
720134245556131
oct2672076763400
9623826641460
10196779697920
11764aa011623
1232179158000
13157300c28a0
14974a52dc88
1551ba8b5a30
hex2dd0fbe700

196779697920 has 1152 divisors, whose sum is σ = 796120012800. Its totient is φ = 45662994432.

The previous prime is 196779697889. The next prime is 196779697931. The reversal of 196779697920 is 29796977691.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1415681211 + ... + 1415681349.

It is an arithmetic number, because the mean of its divisors is an integer number (691076400).

Almost surely, 2196779697920 is an apocalyptic number.

196779697920 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 196779697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398060006400).

196779697920 is an abundant number, since it is smaller than the sum of its proper divisors (599340314880).

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

196779697920 is a wasteful number, since it uses less digits than its factorization.

196779697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 72.

The spelling of 196779697920 in words is "one hundred ninety-six billion, seven hundred seventy-nine million, six hundred ninety-seven thousand, nine hundred twenty".