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5266014378240 = 2835711232131257
BaseRepresentation
bin100110010100001011011…
…1010101001100100000000
3200122102111121002200120110
41030220112322221210000
51142234244140100430
615111101255511320
71052312513445240
oct114502672514400
920572447080513
105266014378240
111750338917150
12710709688540
132c2776ba19c5
14142c3adcdb20
1591eab4217b0
hex4ca16ea9900

5266014378240 has 1728 divisors, whose sum is σ = 22172881876992. Its totient is φ = 1034629939200.

The previous prime is 5266014378227. The next prime is 5266014378269. The reversal of 5266014378240 is 428734106625.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5266014378240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20490328192 + ... + 20490328448.

It is an arithmetic number, because the mean of its divisors is an integer number (12831528864).

Almost surely, 25266014378240 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 5266014378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086440938496).

5266014378240 is an abundant number, since it is smaller than the sum of its proper divisors (16906867498752).

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

5266014378240 is a wasteful number, since it uses less digits than its factorization.

5266014378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 5266014378240 in words is "five trillion, two hundred sixty-six billion, fourteen million, three hundred seventy-eight thousand, two hundred forty".