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196837689438720 = 29325113127311071
BaseRepresentation
bin101100110000010111011000…
…100011101011001000000000
3221210221111111000101221220200
4230300113120203223020000
5201244442041444014340
61534345553003205200
756314024304125101
oct5460273043531000
9853844430357820
10196837689438720
115779a43915a640
121a0b0567b16800
1385aa9398c0055
143686dd03da3a8
1517b5300102330
hexb305d88eb200

196837689438720 has 1440 divisors, whose sum is σ = 779037794675712. Its totient is φ = 45542227968000.

The previous prime is 196837689438631. The next prime is 196837689438749. The reversal of 196837689438720 is 27834986738691.

It is a happy number.

196837689438720 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 37 + 6 + 89 + 438 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a self number, because there is not a number n which added to its sum of digits gives 196837689438720.

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 143 ways as a sum of consecutive naturals, for example, 17779570785 + ... + 17779581855.

Almost surely, 2196837689438720 is an apocalyptic number.

196837689438720 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 196837689438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389518897337856).

196837689438720 is an abundant number, since it is smaller than the sum of its proper divisors (582200105236992).

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

196837689438720 is a wasteful number, since it uses less digits than its factorization.

196837689438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 196837689438720 in words is "one hundred ninety-six trillion, eight hundred thirty-seven billion, six hundred eighty-nine million, four hundred thirty-eight thousand, seven hundred twenty".