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1194381082944 = 26327448166107
BaseRepresentation
bin10001011000010110101…
…010010000000101000000
311020011220110201112211100
4101120112222100011000
5124032043024123234
62312405135414400
7152201606460450
oct21302652200500
94204813645740
101194381082944
11420596a90595
1217358b984400
138882546900a
1441b46197d60
152110677b399
hex11616a90140

1194381082944 has 168 divisors, whose sum is σ = 3913478307648. Its totient is φ = 341170421760.

The previous prime is 1194381082931. The next prime is 1194381083003. The reversal of 1194381082944 is 4492801834911.

1194381082944 is a `hidden beast` number, since 1 + 19 + 438 + 108 + 2 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18034339 + ... + 18100445.

It is an arithmetic number, because the mean of its divisors is an integer number (23294513736).

Almost surely, 21194381082944 is an apocalyptic number.

1194381082944 is a gapful number since it is divisible by the number (14) 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 1194381082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956739153824).

1194381082944 is an abundant number, since it is smaller than the sum of its proper divisors (2719097224704).

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

1194381082944 is a wasteful number, since it uses less digits than its factorization.

1194381082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70613 (or 70600 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1194381082944 in words is "one trillion, one hundred ninety-four billion, three hundred eighty-one million, eighty-two thousand, nine hundred forty-four".