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2342745583104 = 29317375973563
BaseRepresentation
bin100010000101110110100…
…001001010111000000000
322021222000222010111011210
4202011312201022320000
5301340420332124404
64552124212210120
7331154263614603
oct42056641127000
98258028114153
102342745583104
11823609896373
1231a058909940
1313cbc61cbb04
1481564a9a33a
1540e1820e689
hex2217684ae00

2342745583104 has 640 divisors, whose sum is σ = 7008963540480. Its totient is φ = 692132511744.

The previous prime is 2342745583097. The next prime is 2342745583151. The reversal of 2342745583104 is 4013855472432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4161181927 + ... + 4161182489.

It is an arithmetic number, because the mean of its divisors is an integer number (10951505532).

Almost surely, 22342745583104 is an apocalyptic number.

2342745583104 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 2342745583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504481770240).

2342745583104 is an abundant number, since it is smaller than the sum of its proper divisors (4666217957376).

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

2342745583104 is a wasteful number, since it uses less digits than its factorization.

2342745583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 2342745583104 in words is "two trillion, three hundred forty-two billion, seven hundred forty-five million, five hundred eighty-three thousand, one hundred four".