Search a number
-
+
219450440448 = 28321131276637
BaseRepresentation
bin1100110001100001000…
…0111111101100000000
3202222102212201102202200
43030120100333230000
512043413303043243
6244451504313200
721566120652321
oct3143020775400
9688385642680
10219450440448
1185083063a78
1236645612800
1317903babc35
14a89b3d0448
155a95d37ad3
hex331843fb00

219450440448 has 216 divisors, whose sum is σ = 643452246528. Its totient is φ = 71921074176.

The previous prime is 219450440411. The next prime is 219450440467. The reversal of 219450440448 is 844044054912.

219450440448 is a `hidden beast` number, since 2 + 194 + 50 + 4 + 404 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33061386 + ... + 33068022.

Almost surely, 2219450440448 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 219450440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321726123264).

219450440448 is an abundant number, since it is smaller than the sum of its proper divisors (424001806080).

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

219450440448 is a wasteful number, since it uses less digits than its factorization.

219450440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 219450440448 in words is "two hundred nineteen billion, four hundred fifty million, four hundred forty thousand, four hundred forty-eight".