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2463530009472 = 27327417979349
BaseRepresentation
bin100011110110010101110…
…101001100001110000000
322201111210122100002100200
4203312111311030032000
5310330302140300342
65123421405445200
7342661366401420
oct43662565141600
98644718302320
102463530009472
1186a860514644
12339547270800
1314b404a7559c
1487342276480
1544136eb294c
hex23d95d4c380

2463530009472 has 384 divisors, whose sum is σ = 8310694392000. Its totient is φ = 685763297280.

The previous prime is 2463530009429. The next prime is 2463530009483. The reversal of 2463530009472 is 2749000353642.

2463530009472 is a `hidden beast` number, since 2 + 4 + 635 + 3 + 0 + 0 + 0 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×24635300094722 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 263502654 + ... + 263512002.

Almost surely, 22463530009472 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 2463530009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155347196000).

2463530009472 is an abundant number, since it is smaller than the sum of its proper divisors (5847164382528).

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

2463530009472 is a wasteful number, since it uses less digits than its factorization.

2463530009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2463530009472 in words is "two trillion, four hundred sixty-three billion, five hundred thirty million, nine thousand, four hundred seventy-two".