Search a number
-
+
193474068480 = 21833571171
BaseRepresentation
bin1011010000101111110…
…1000000000000000000
3200111101112121000102000
42310023331000000000
511132213330142410
6224514124424000
716656316306410
oct2641375000000
9614345530360
10193474068480
1175063082270
12315b60a8000
13153242bc134
1495154ca640
15507559edc0
hex2d0bf40000

193474068480 has 1216 divisors, whose sum is σ = 869729218560. Its totient is φ = 39636172800.

The previous prime is 193474068461. The next prime is 193474068481. The reversal of 193474068480 is 84860474391.

193474068480 is a `hidden beast` number, since 1 + 9 + 34 + 74 + 0 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193474068481) 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, 2724986845 + ... + 2724986915.

Almost surely, 2193474068480 is an apocalyptic number.

193474068480 is a gapful number since it is divisible by the number (10) 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 193474068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434864609280).

193474068480 is an abundant number, since it is smaller than the sum of its proper divisors (676255150080).

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

193474068480 is an frugal number, since it uses more digits than its factorization.

193474068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 193474068480 in words is "one hundred ninety-three billion, four hundred seventy-four million, sixty-eight thousand, four hundred eighty".