Search a number
-
+
133223631552 = 2634115774049
BaseRepresentation
bin111110000010010111…
…1110100101011000000
3110201212120202200210000
41330010233310223000
54140320222202202
6141111352440000
712424256120034
oct1740457645300
9421776680700
10133223631552
11515552a3240
12219a03a9000
13c7419c871b
14663b6861c4
1536ead7d91c
hex1f04bf4ac0

133223631552 has 280 divisors, whose sum is σ = 431671323600. Its totient is φ = 40290877440.

The previous prime is 133223631551. The next prime is 133223631589. The reversal of 133223631552 is 255136322331.

133223631552 is a `hidden beast` number, since 1 + 332 + 2 + 3 + 6 + 315 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133223631551) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32900824 + ... + 32904872.

Almost surely, 2133223631552 is an apocalyptic number.

133223631552 is a gapful number since it is divisible by the number (12) 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 133223631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215835661800).

133223631552 is an abundant number, since it is smaller than the sum of its proper divisors (298447692048).

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

133223631552 is a wasteful number, since it uses less digits than its factorization.

133223631552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4642 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 133223631552 its reverse (255136322331), we get a palindrome (388359953883).

The spelling of 133223631552 in words is "one hundred thirty-three billion, two hundred twenty-three million, six hundred thirty-one thousand, five hundred fifty-two".