Search a number
-
+
133594780704 = 253721117295237
BaseRepresentation
bin111110001101011011…
…1101001010000100000
3110202211110011000200220
41330122313221100200
54142100230440304
6141212251443040
712436413620400
oct1743267512040
9422743130626
10133594780704
1151725853080
1221a84756480
13c7a08780c8
146674a9a800
15371d743ad9
hex1f1ade9420

133594780704 has 576 divisors, whose sum is σ = 487546335360. Its totient is φ = 31526584320.

The previous prime is 133594780681. The next prime is 133594780793. The reversal of 133594780704 is 407087495331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 25507174 + ... + 25512410.

It is an arithmetic number, because the mean of its divisors is an integer number (846434610).

Almost surely, 2133594780704 is an apocalyptic number.

133594780704 is a gapful number since it is divisible by the number (14) 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 133594780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243773167680).

133594780704 is an abundant number, since it is smaller than the sum of its proper divisors (353951554656).

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

133594780704 is a wasteful number, since it uses less digits than its factorization.

133594780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 133594780704 in words is "one hundred thirty-three billion, five hundred ninety-four million, seven hundred eighty thousand, seven hundred four".