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2473063266400 = 2552311994611087
BaseRepresentation
bin100011111111001110000…
…011101011100001100000
322202102102000211201100121
4203333032003223201200
5311004313144011100
65132035400330024
7343446545631406
oct43771603534140
98672360751317
102473063266400
11873902817681
1233b367a73914
1314c293b5320c
14879a841d476
15444e3dc651a
hex23fce0eb860

2473063266400 has 288 divisors, whose sum is σ = 6282797875200. Its totient is φ = 949563648000.

The previous prime is 2473063266353. The next prime is 2473063266403. The reversal of 2473063266400 is 46623603742.

2473063266400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24730632664002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473063266403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2275126657 + ... + 2275127743.

It is an arithmetic number, because the mean of its divisors is an integer number (21815270400).

Almost surely, 22473063266400 is an apocalyptic number.

2473063266400 is a gapful number since it is divisible by the number (20) 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 2473063266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141398937600).

2473063266400 is an abundant number, since it is smaller than the sum of its proper divisors (3809734608800).

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

2473063266400 is a wasteful number, since it uses less digits than its factorization.

2473063266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 2473063266400 in words is "two trillion, four hundred seventy-three billion, sixty-three million, two hundred sixty-six thousand, four hundred".