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2453224316928 = 21337111931271
BaseRepresentation
bin100011101100101111100…
…100000110000000000000
322200112012102100122220020
4203230233210012000000
5310143200411120203
65114555023013440
7342145120430520
oct43545744060000
98615172318806
102453224316928
11866452198270
1233754ba3a280
1314a451946268
1486a4569b680
1543c3236e153
hex23b2f906000

2453224316928 has 1344 divisors, whose sum is σ = 8995729674240. Its totient is φ = 575963136000.

The previous prime is 2453224316911. The next prime is 2453224316951. The reversal of 2453224316928 is 8296134223542.

It is a tau number, because it is divible by the number of its divisors (1344).

Its product of digits (4976640) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34552455133 + ... + 34552455203.

Almost surely, 22453224316928 is an apocalyptic number.

2453224316928 is a gapful number since it is divisible by the number (28) 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 2453224316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497864837120).

2453224316928 is an abundant number, since it is smaller than the sum of its proper divisors (6542505357312).

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

2453224316928 is a wasteful number, since it uses less digits than its factorization.

2453224316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 144 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 2453224316928 in words is "two trillion, four hundred fifty-three billion, two hundred twenty-four million, three hundred sixteen thousand, nine hundred twenty-eight".