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196822290000 = 2435472413889
BaseRepresentation
bin1011011101001110000…
…1011100111001010000
3200211000212212021212110
42313103201130321100
511211043001240000
6230230252425320
720135303601240
oct2672341347120
9624025767773
10196822290000
1176521062696
123218b478240
1315738b861bb
149752059b20
1551be4ca850
hex2dd385ce50

196822290000 has 400 divisors, whose sum is σ = 729336037760. Its totient is φ = 44789760000.

The previous prime is 196822289977. The next prime is 196822290097. The reversal of 196822290000 is 92228691.

196822290000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-4 number, since 4×1968222900004 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50608056 + ... + 50611944.

Almost surely, 2196822290000 is an apocalyptic number.

196822290000 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 196822290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364668018880).

196822290000 is an abundant number, since it is smaller than the sum of its proper divisors (532513747760).

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

196822290000 is a wasteful number, since it uses less digits than its factorization.

196822290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 196822290000 in words is "one hundred ninety-six billion, eight hundred twenty-two million, two hundred ninety thousand".