Search a number
-
+
5352356016 = 243377197257
BaseRepresentation
bin1001111110000011…
…00111100010110000
3111211000101212011000
410333001213202300
541430200343031
62243035322000
7246431163330
oct47701474260
914730355130
105352356016
1122a72a1327
1210545b0300
13673b5b287
1438abc30c0
15214d583e6
hex13f0678b0

5352356016 has 320 divisors, whose sum is σ = 18058844160. Its totient is φ = 1486356480.

The previous prime is 5352355991. The next prime is 5352356017. The reversal of 5352356016 is 6106532535.

It is a super-2 number, since 2×53523560162 = 57295429844022784512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5352356017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20826160 + ... + 20826416.

It is an arithmetic number, because the mean of its divisors is an integer number (56433888).

Almost surely, 25352356016 is an apocalyptic number.

5352356016 is a gapful number since it is divisible by the number (56) 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 5352356016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029422080).

5352356016 is an abundant number, since it is smaller than the sum of its proper divisors (12706488144).

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

5352356016 is a wasteful number, since it uses less digits than its factorization.

5352356016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5352356016 is about 73159.7978127332. The cubic root of 5352356016 is about 1749.2356951942.

The spelling of 5352356016 in words is "five billion, three hundred fifty-two million, three hundred fifty-six thousand, sixteen".