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2194193376960 = 2635136773103349
BaseRepresentation
bin11111111011100000000…
…111011110011011000000
321202202121002221112002220
4133323200013132123000
5241422202001030320
64355555403011040
7314345104654644
oct37734007363300
97682532845086
102194193376960
11776608a60172
122b52bab09a80
1312bbb0893310
14782b16dcc24
153c1217b5e40
hex1fee01de6c0

2194193376960 has 896 divisors, whose sum is σ = 7816008345600. Its totient is φ = 518175719424.

The previous prime is 2194193376959. The next prime is 2194193376967. The reversal of 2194193376960 is 696733914912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2194193376894 and 2194193376903.

It is not an unprimeable number, because it can be changed into a prime (2194193376967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6287086866 + ... + 6287087214.

It is an arithmetic number, because the mean of its divisors is an integer number (8723223600).

Almost surely, 22194193376960 is an apocalyptic number.

2194193376960 is a gapful number since it is divisible by the number (20) 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 2194193376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908004172800).

2194193376960 is an abundant number, since it is smaller than the sum of its proper divisors (5621814968640).

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

2194193376960 is a wasteful number, since it uses less digits than its factorization.

2194193376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 2194193376960 in words is "two trillion, one hundred ninety-four billion, one hundred ninety-three million, three hundred seventy-six thousand, nine hundred sixty".