Search a number
-
+
5322317415552 = 273223225189237
BaseRepresentation
bin100110101110011001011…
…0101101100010010000000
3200211210211110012022220200
41031130302311230102000
51144200101224244202
615153012221205200
71056344662406124
oct115346265542200
920753743168820
105322317415552
111772200479445
1271b601400800
132c7b7a72c8b7
1414585c893584
15936a430ce1c
hex4d732d6c480

5322317415552 has 192 divisors, whose sum is σ = 15988693930560. Its totient is φ = 1696197888000.

The previous prime is 5322317415469. The next prime is 5322317415559. The reversal of 5322317415552 is 2555147132235.

5322317415552 is a `hidden beast` number, since 5 + 3 + 2 + 23 + 1 + 74 + 1 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5322317415498 and 5322317415507.

It is not an unprimeable number, because it can be changed into a prime (5322317415559) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59597878 + ... + 59687114.

It is an arithmetic number, because the mean of its divisors is an integer number (83274447555).

Almost surely, 25322317415552 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 5322317415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994346965280).

5322317415552 is an abundant number, since it is smaller than the sum of its proper divisors (10666376515008).

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

5322317415552 is a wasteful number, since it uses less digits than its factorization.

5322317415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91531 (or 91516 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 5322317415552 in words is "five trillion, three hundred twenty-two billion, three hundred seventeen million, four hundred fifteen thousand, five hundred fifty-two".