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2473972322304 = 212373121732
BaseRepresentation
bin100100000000000100001…
…111011101000000000000
322202111202101101112121210
4210000010033131000000
5311013143403303204
65132305512450120
7343511224525230
oct44000417350000
98674671345553
102473972322304
1187422997484a
1233b5803a9940
1314c3aa29a812
1487a53055cc0
1544548ae1389
hex240043dd000

2473972322304 has 468 divisors, whose sum is σ = 7835125033248. Its totient is φ = 680093614080.

The previous prime is 2473972322281. The next prime is 2473972322317. The reversal of 2473972322304 is 4032232793742.

It is a super-2 number, since 2×24739723223042 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14300417962 + ... + 14300418134.

Almost surely, 22473972322304 is an apocalyptic number.

2473972322304 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 2473972322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917562516624).

2473972322304 is an abundant number, since it is smaller than the sum of its proper divisors (5361152710944).

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

2473972322304 is an frugal number, since it uses more digits than its factorization.

2473972322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 2473972322304 in words is "two trillion, four hundred seventy-three billion, nine hundred seventy-two million, three hundred twenty-two thousand, three hundred four".