Search a number
-
+
5523270708384 = 2535111319261427
BaseRepresentation
bin101000001011111110010…
…0101101010110010100000
3201120000112020021022100000
41100113330211222302200
51210443124300132014
615425204443500000
71110020540252412
oct120277445526240
921500466238300
105523270708384
11183a451361660
12752544227600
13310ac43b4570
141514834049b2
1598a162d9509
hex505fc96aca0

5523270708384 has 576 divisors, whose sum is σ = 20143424770560. Its totient is φ = 1463650974720.

The previous prime is 5523270708383. The next prime is 5523270708401. The reversal of 5523270708384 is 4838070723255.

5523270708384 is a `hidden beast` number, since 552 + 3 + 2 + 7 + 0 + 7 + 0 + 8 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5523270708384.

It is not an unprimeable number, because it can be changed into a prime (5523270708383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20996679 + ... + 21258105.

It is an arithmetic number, because the mean of its divisors is an integer number (34971223560).

Almost surely, 25523270708384 is an apocalyptic number.

5523270708384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5523270708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071712385280).

5523270708384 is an abundant number, since it is smaller than the sum of its proper divisors (14620154062176).

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

5523270708384 is a wasteful number, since it uses less digits than its factorization.

5523270708384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261495 (or 261475 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5523270708384 in words is "five trillion, five hundred twenty-three billion, two hundred seventy million, seven hundred eight thousand, three hundred eighty-four".