Search a number
-
+
133258738896 = 24381996379
BaseRepresentation
bin111110000011011010…
…1101111110011010000
3110201222000211100000000
41330012311233303100
54140403214121041
6141115045130000
712425163406563
oct1740665576320
9421860740000
10133258738896
11515730a1978
12219b00b9900
13c74906b2ba
1466421c44da
1536edeb5bb6
hex1f06d6fcd0

133258738896 has 180 divisors, whose sum is σ = 389270596000. Its totient is φ = 44189437248.

The previous prime is 133258738861. The next prime is 133258738909. The reversal of 133258738896 is 698837852331.

133258738896 is a `hidden beast` number, since 13 + 3 + 2 + 587 + 38 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20887035 + ... + 20893413.

Almost surely, 2133258738896 is an apocalyptic number.

133258738896 is a gapful number since it is divisible by the number (16) 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 133258738896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194635298000).

133258738896 is an abundant number, since it is smaller than the sum of its proper divisors (256011857104).

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

133258738896 is an frugal number, since it uses more digits than its factorization.

133258738896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6583 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 133258738896 in words is "one hundred thirty-three billion, two hundred fifty-eight million, seven hundred thirty-eight thousand, eight hundred ninety-six".