Search a number
-
+
452115545220 = 22325374111091493
BaseRepresentation
bin1101001010001000010…
…11111011110010000100
31121012222201011101002100
412211010023323302010
524401413034421340
6543410553112100
744443562504043
oct6450413736204
91535881141070
10452115545220
11164817490929
12737586b8630
133383277c771
1417c4d86855a
15bb61d76830
hex69442fbc84

452115545220 has 288 divisors, whose sum is σ = 1445104009440. Its totient is φ = 114264760320.

The previous prime is 452115545197. The next prime is 452115545267. The reversal of 452115545220 is 22545511254.

452115545220 is a `hidden beast` number, since 4 + 52 + 1 + 1 + 554 + 52 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 159756892416 + 292358652804 = 399696^2 + 540702^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302822794 + ... + 302824286.

It is an arithmetic number, because the mean of its divisors is an integer number (5017722255).

Almost surely, 2452115545220 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 452115545220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722552004720).

452115545220 is an abundant number, since it is smaller than the sum of its proper divisors (992988464220).

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

452115545220 is a wasteful number, since it uses less digits than its factorization.

452115545220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 452115545220 in words is "four hundred fifty-two billion, one hundred fifteen million, five hundred forty-five thousand, two hundred twenty".