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2193491073024 = 21134231633527
BaseRepresentation
bin11111111010110110010…
…000011001100000000000
321202200210011102210020000
4133322312100121200000
5241414232203314044
64355401554120000
7314321516326416
oct37726620314000
97680704383200
102193491073024
11776288587899
122b5143880000
1312bacb228364
14782463252b6
153c0cecdad69
hex1feb6419800

2193491073024 has 480 divisors, whose sum is σ = 6880546632960. Its totient is φ = 694886252544.

The previous prime is 2193491072933. The next prime is 2193491073079. The reversal of 2193491073024 is 4203701943912.

2193491073024 is a `hidden beast` number, since 2 + 1 + 93 + 491 + 0 + 73 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×21934910730242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 621912349 + ... + 621915875.

It is an arithmetic number, because the mean of its divisors is an integer number (14334472152).

Almost surely, 22193491073024 is an apocalyptic number.

2193491073024 is a gapful number since it is divisible by the number (24) 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 2193491073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440273316480).

2193491073024 is an abundant number, since it is smaller than the sum of its proper divisors (4687055559936).

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

2193491073024 is a wasteful number, since it uses less digits than its factorization.

2193491073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2193491073024 in words is "two trillion, one hundred ninety-three billion, four hundred ninety-one million, seventy-three thousand, twenty-four".