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5263605037440 = 27355311108827
BaseRepresentation
bin100110010011000011101…
…0011101111100110000000
3200122012021200111111100000
41030212013103233212000
51142214330342144230
615110022231200000
71052166016416111
oct114460723574600
920565250444300
105263605037440
11174a311904802
12710156816000
132c2481995569
14142a8d01c208
1591db9b52b60
hex4c9874ef980

5263605037440 has 384 divisors, whose sum is σ = 18909848805120. Its totient is φ = 1399101880320.

The previous prime is 5263605037423. The next prime is 5263605037441. The reversal of 5263605037440 is 447305063625.

5263605037440 is a `hidden beast` number, since 5 + 2 + 6 + 3 + 605 + 0 + 37 + 4 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5263605037441) 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, 48312307 + ... + 48421133.

It is an arithmetic number, because the mean of its divisors is an integer number (49244397930).

Almost surely, 25263605037440 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 5263605037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454924402560).

5263605037440 is an abundant number, since it is smaller than the sum of its proper divisors (13646243767680).

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

5263605037440 is a wasteful number, since it uses less digits than its factorization.

5263605037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109172 (or 109148 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 5263605037440 in words is "five trillion, two hundred sixty-three billion, six hundred five million, thirty-seven thousand, four hundred forty".