Search a number
-
+
5341178880 = 21039553
BaseRepresentation
bin1001111100101101…
…11110110000000000
3111210020101000000000
410332112332300000
541414320211010
62242000000000
7246234162042
oct47626766000
914706330000
105341178880
1122a0a57824
121050900000
1367174699b
14389513a92
15213d9b7c0
hex13e5bec00

5341178880 has 440 divisors, whose sum is σ = 19581143472. Its totient is φ = 1397440512.

The previous prime is 5341178873. The next prime is 5341178897. The reversal of 5341178880 is 888711435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100776934 + ... + 100776986.

Almost surely, 25341178880 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 5341178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790571736).

5341178880 is an abundant number, since it is smaller than the sum of its proper divisors (14239964592).

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

5341178880 is an frugal number, since it uses more digits than its factorization.

5341178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5341178880 is about 73083.3693804548. The cubic root of 5341178880 is about 1748.0172242664.

The spelling of 5341178880 in words is "five billion, three hundred forty-one million, one hundred seventy-eight thousand, eight hundred eighty".