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196069386240 = 2113357137793
BaseRepresentation
bin1011011010011010100…
…1010110100000000000
3200202002102010211002000
42312212221112200000
511203022230324430
6230023435224000
720110532166450
oct2664651264000
9622072124060
10196069386240
1176175069982
1231bbb2a8000
1315648bb2b10
1496c006dd60
155178357e60
hex2da6a56800

196069386240 has 768 divisors, whose sum is σ = 857913638400. Its totient is φ = 41363177472.

The previous prime is 196069386217. The next prime is 196069386269. The reversal of 196069386240 is 42683960691.

196069386240 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 6 + 9 + 3 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25155784 + ... + 25163576.

It is an arithmetic number, because the mean of its divisors is an integer number (1117075050).

Almost surely, 2196069386240 is an apocalyptic number.

196069386240 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 196069386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428956819200).

196069386240 is an abundant number, since it is smaller than the sum of its proper divisors (661844252160).

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

196069386240 is a wasteful number, since it uses less digits than its factorization.

196069386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 196069386240 in words is "one hundred ninety-six billion, sixty-nine million, three hundred eighty-six thousand, two hundred forty".