Search a number
-
+
5313192192 = 283371167149
BaseRepresentation
bin1001111001011000…
…01110000100000000
3111201021201010111000
410330230032010000
541340134122232
62235120052000
7245444250150
oct47454160400
914637633430
105313192192
112287181a30
121043464000
136689c8209
1438590a760
152116be27c
hex13cb0e100

5313192192 has 576 divisors, whose sum is σ = 20014848000. Its totient is φ = 1350328320.

The previous prime is 5313192139. The next prime is 5313192197. The reversal of 5313192192 is 2912913135.

5313192192 is a `hidden beast` number, since 531 + 3 + 19 + 21 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×53131921922 = 56460022538259529728, 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 (5313192197) 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, 35658934 + ... + 35659082.

It is an arithmetic number, because the mean of its divisors is an integer number (34748000).

Almost surely, 25313192192 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 5313192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007424000).

5313192192 is an abundant number, since it is smaller than the sum of its proper divisors (14701655808).

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

5313192192 is a wasteful number, since it uses less digits than its factorization.

5313192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 5313192192 is about 72891.6469288491. The cubic root of 5313192192 is about 1744.9587915929.

The spelling of 5313192192 in words is "five billion, three hundred thirteen million, one hundred ninety-two thousand, one hundred ninety-two".