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2423748096 = 2935711223
BaseRepresentation
bin1001000001110111…
…0111011000000000
320020220201011100000
42100131313120000
514430434414341
61040301200000
7114030342660
oct22035673000
96226634300
102423748096
111034162900
12577860000
132c81b2093
1418dc821a0
15e2bb78b6
hex90777600

2423748096 has 720 divisors, whose sum is σ = 9508891392. Its totient is φ = 602173440.

The previous prime is 2423748031. The next prime is 2423748097. The reversal of 2423748096 is 6908473242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423748097) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 105380341 + ... + 105380363.

Almost surely, 22423748096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423748096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754445696).

2423748096 is an abundant number, since it is smaller than the sum of its proper divisors (7085143296).

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

2423748096 is an equidigital number, since it uses as much as digits as its factorization.

2423748096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2423748096 is about 49231.5762087707. The cubic root of 2423748096 is about 1343.2674579462.

It can be divided in two parts, 242 and 3748096, that multiplied together give a cube (907039232 = 9683).

The spelling of 2423748096 in words is "two billion, four hundred twenty-three million, seven hundred forty-eight thousand, ninety-six".