Search a number
-
+
5521125792 = 25371319293137
BaseRepresentation
bin1010010010001010…
…11011000110100000
3112020202222020202110
411021011123012200
542301402011132
62311504515320
7253550536440
oct51105330640
915222866673
105521125792
112383593586
1210a101bb40
1369cacc650
143a5396120
15224a941cc
hex14915b1a0

5521125792 has 768 divisors, whose sum is σ = 20592230400. Its totient is φ = 1254113280.

The previous prime is 5521125791. The next prime is 5521125809. The reversal of 5521125792 is 2975211255.

It is a happy number.

It is a super-2 number, since 2×55211257922 = 60965660022175254528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5521125792.

It is not an unprimeable number, because it can be changed into a prime (5521125791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149219598 + ... + 149219634.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 25521125792 is an apocalyptic number.

5521125792 is a gapful number since it is divisible by the number (52) 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 5521125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296115200).

5521125792 is an abundant number, since it is smaller than the sum of its proper divisors (15071104608).

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

5521125792 is a wasteful number, since it uses less digits than its factorization.

5521125792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its digits is 63000, while the sum is 39.

The square root of 5521125792 is about 74304.2784232510. The cubic root of 5521125792 is about 1767.4313227385.

It can be divided in two parts, 55211 and 25792, that added together give a triangular number (81003 = T402).

The spelling of 5521125792 in words is "five billion, five hundred twenty-one million, one hundred twenty-five thousand, seven hundred ninety-two".