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2924095048056 = 23327213418531823
BaseRepresentation
bin101010100011010001101…
…001011000100101111000
3101100112121012201012022200
4222203101221120211320
5340402021313014211
610115151040550200
7421154541545100
oct52432151304570
911315535635280
102924095048056
11a28113472936
123b2861622360
13182982c18360
14a1753d74200
15510e0a22b56
hex2a8d1a58978

2924095048056 has 576 divisors, whose sum is σ = 10180509131520. Its totient is φ = 751086120960.

The previous prime is 2924095047989. The next prime is 2924095048109. The reversal of 2924095048056 is 6508405904292.

2924095048056 is a `hidden beast` number, since 2 + 9 + 2 + 4 + 0 + 9 + 504 + 80 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2924095047993 and 2924095048011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1604000761 + ... + 1604002583.

It is an arithmetic number, because the mean of its divisors is an integer number (17674495020).

Almost surely, 22924095048056 is an apocalyptic number.

2924095048056 is a gapful number since it is divisible by the number (26) 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 2924095048056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090254565760).

2924095048056 is an abundant number, since it is smaller than the sum of its proper divisors (7256414083464).

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

2924095048056 is a wasteful number, since it uses less digits than its factorization.

2924095048056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2924095048056 in words is "two trillion, nine hundred twenty-four billion, ninety-five million, forty-eight thousand, fifty-six".