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5034827415552 = 215311194143139
BaseRepresentation
bin100100101000100001100…
…0110011000000000000000
3122211022202210001010222220
41021101003012120000000
51124442311304244202
614412545012531040
71026516500623614
oct111210306300000
918738683033886
105034827415552
111671292900320
12693949620a80
132a6a2260c46c
14135988da9344
158ae7a060abc
hex49443198000

5034827415552 has 1024 divisors, whose sum is σ = 16277006592000. Its totient is φ = 1367447961600.

The previous prime is 5034827415539. The next prime is 5034827415577. The reversal of 5034827415552 is 2555147284305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 5034827415495 and 5034827415504.

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 63 ways as a sum of consecutive naturals, for example, 36221779899 + ... + 36221780037.

It is an arithmetic number, because the mean of its divisors is an integer number (15895514250).

Almost surely, 25034827415552 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 5034827415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138503296000).

5034827415552 is an abundant number, since it is smaller than the sum of its proper divisors (11242179176448).

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

5034827415552 is a wasteful number, since it uses less digits than its factorization.

5034827415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 51.

The spelling of 5034827415552 in words is "five trillion, thirty-four billion, eight hundred twenty-seven million, four hundred fifteen thousand, five hundred fifty-two".